2024-03-28T17:29:26Z
https://journals.umcs.pl/index/oai
oai:ojs.umcsd.home.net.pl:article/16295
2023-09-30T19:35:45Z
a:ART
"230930 2023 eng "
2083-7402
0365-1029
dc
Three types of reproducing kernel Hilbert spaces of polynomials
Żynda, Tomasz Łukasz
Warsaw Military University of Technology
Reproducing kernel Hilbert space; polynomials; inner product
In this paper we will investigate reproducing kernel Hilbert spaces of polynomials of degree at most n with three different inner products: given by an integral with a weight, given by the sum of products of values of a polynomial at n + 1 points and given by the sum of products of coefficients of the same power. In the first case we will show that the reproducing kernel depends continuously on deformation of an inner product in a precisely defined sense. In the second and third case we will give a formula for the reproducing kernel.
www.wydawnictwo.umcs.lublin.pl
2023-09-30 21:35:45
application/pdf
https://journals.umcs.pl/a/article/view/16295
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 77, No 1 (2023)
eng
Prawa autorskie (c) 2023 Tomasz Łukasz Żynda
oai:ojs.umcsd.home.net.pl:article/16294
2023-09-30T19:35:45Z
a:ART
"230930 2023 eng "
2083-7402
0365-1029
dc
Counting holomorphic connections with a prescribed Ricci tensor
Kurek, Jan
Maria Curie Skłodowska University
Mikulski, Włodzimierz
Jagiellonian University
Plaszczyk, Mariusz
Maria Curie-Skłodowska University
Holomorphic connection; Ricci tensor; holomorphic version of the Cauchy-Kowalevski theorem
How many holomorphic connections are there with a prescribed Ricci tensor? How many torsion-free holomorphic connections are there with a prescribed Ricci tensor? These questions are answered by using the holomorphic version of the Cauchy–Kowalevski theorem.
www.wydawnictwo.umcs.lublin.pl
2023-09-30 21:35:45
application/pdf
https://journals.umcs.pl/a/article/view/16294
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 77, No 1 (2023)
eng
Prawa autorskie (c) 2023 Jan Kurek, Włodzimierz Mikulski, Mariusz Plaszczyk
oai:ojs.umcsd.home.net.pl:article/16293
2023-09-30T19:35:45Z
a:ART
"230930 2023 eng "
2083-7402
0365-1029
dc
On intermediate q-Lauricella functions in the spirit of Karlsson, Chandel Singh and Gupta
Ernst, Thomas
Uppsala University
Intermediate q-Lauricella function; convergence region; q-additions; generating function
The purpose of this article is to define some intermediate q-Lauricella functions, to find convergence regions in two different forms, and to prove corresponding reduction formulas by using a known lemma from our first book. These convergence regions are given in form of q-additions and q-real numbers. The third q-real number plays a special role in the computations. Generating functions are proved by using the q-binomial theorem. Finally, special cases of q-Lauricella functions as well as confluent forms in the spirit of Chandel Singh and Gupta are given.
www.wydawnictwo.umcs.lublin.pl
2023-09-30 21:35:45
application/pdf
https://journals.umcs.pl/a/article/view/16293
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 77, No 1 (2023)
eng
Prawa autorskie (c) 2023 Thomas Ernst
oai:ojs.umcsd.home.net.pl:article/16292
2023-09-30T19:35:45Z
a:ART
"230930 2023 eng "
2083-7402
0365-1029
dc
A new hybrid generalization of Fibonacci and Fibonacci-Narayana polynomials
Bród, Dorota
Rzeszów University of Technology
Szynal-Liana, Anetta
Rzeszów University of Technology
Fibonacci numbers; recurrence relations; hybrid numbers; hybrinomials
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. The hybrinomials are polynomials which generalize hybrid numbers. In this paper, we introduce and study the distance Fibonacci hybrinomials, i.e. hybrinomials with coefficients being distance Fibonacci polynomials.
www.wydawnictwo.umcs.lublin.pl
2023-09-30 21:35:45
application/pdf
https://journals.umcs.pl/a/article/view/16292
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 77, No 1 (2023)
eng
Prawa autorskie (c) 2023 Dorota Bród, Anetta Szynal-Liana
oai:ojs.umcsd.home.net.pl:article/15269
2023-07-27T15:50:15Z
a:ART
"230313 2023 eng "
2083-7402
0365-1029
dc
Transitivity of implicative aBE algebras
Zelent, Denis
Norwegian University of Science and Technology
BE algebra; BCK algebra; Tarski algebra; implicativity; transitivity
We prove that every implicative aBE algebra satisfies the transitivity property. This means that every implicative aBE algebra is a Tarski algebra, and thus is also a commutative BCK algebra.
www.wydawnictwo.umcs.lublin.pl
2023-03-13 22:27:58
application/pdf
https://journals.umcs.pl/a/article/view/15269
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 2 (2022)
eng
Prawa autorskie (c) 2022 Denis Zelent
oai:ojs.umcsd.home.net.pl:article/15268
2023-07-27T15:49:13Z
a:ART
"230313 2023 eng "
2083-7402
0365-1029
dc
On implicative BE algebras
Walendziak, Andrzej
Siedlce University
BE algebra; BE** algebra; BCK algebra; commutativity; implicativity
We consider some generalizations of BCK algebras (RML, BE, aBE, BE** and aBE** algebras). We investigate the property of implicativity for these algebras. We prove that for any implicative BE** algebra the commutativity property is equivalent to the property of antisymmetry and show that implicative aBE** algebras are commutative BCK algebras. We also show that the class of implicative BE** algebras is a variety.
www.wydawnictwo.umcs.lublin.pl
2023-03-13 22:27:58
application/pdf
https://journals.umcs.pl/a/article/view/15268
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 2 (2022)
eng
Prawa autorskie (c) 2022 Andrzej Walendziak
oai:ojs.umcsd.home.net.pl:article/15267
2023-07-27T15:48:12Z
a:ART
"230313 2023 eng "
2083-7402
0365-1029
dc
Generalized commutative quaternion polynomials of the Fibonacci type
Szynal-Liana, Anetta
Rzeszów University of Technology
Włoch, Iwona
Rzeszów University of Technology
Liana, Mirosław
Rzeszów University of Technology
Quaternions; generalized quaternions; polynomials; Fibonacci type numbers
Generalized commutative quaternions is a number system which generalizes elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper we introduce and study generalized commutative quaternion polynomials of the Fibonacci type.
www.wydawnictwo.umcs.lublin.pl
2023-03-13 22:27:58
application/pdf
https://journals.umcs.pl/a/article/view/15267
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 2 (2022)
eng
Prawa autorskie (c) 2022 Anetta Szynal-Liana, Iwona Włoch, Mirosław Liana
oai:ojs.umcsd.home.net.pl:article/15266
2023-07-27T15:46:40Z
a:ART
"230313 2023 eng "
2083-7402
0365-1029
dc
Maclaurin-type inequalities for Riemann-Liouville fractional integrals
Hezenci, Fatih
Duzce University
Budak, Huseyin
Duzce University
Quadrature formulae; Maclaurin's formula; convex functions; fractional calculus
In the present article, an equality is established by using the well-known Riemann-Liouville fractional integrals. With the aid of this equality, some Euler-Maclaurin-type inequalities are given in the case of differentiable convex functions. Moreover, we give an example using graphs in order to show that our main result is correct.
www.wydawnictwo.umcs.lublin.pl
2023-03-13 22:27:58
application/pdf
https://journals.umcs.pl/a/article/view/15266
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 2 (2022)
eng
Prawa autorskie (c) 2022 Fatih Hezenci
oai:ojs.umcsd.home.net.pl:article/15265
2023-07-27T15:44:17Z
a:ART
"230313 2023 eng "
2083-7402
0365-1029
dc
Natural affinors and torsion of connections on Weil like functors on double vector bundles
Doupovec, Miroslav
Brno University of Technology
Kurek, Jan
Maria Curie-Sklodowska University
Mikulski, Włodzimierz
Jagiellonian University
Double vector bundle; product preserving gauge bundle functor; natural affinor; torsion of double-linear connection
We describe completely all natural affinors on product preserving gauge bundle functors on double vector bundles. Next, we study torsion of double-linear connections.
www.wydawnictwo.umcs.lublin.pl
2023-03-13 22:27:58
application/pdf
https://journals.umcs.pl/a/article/view/15265
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 2 (2022)
eng
Prawa autorskie (c) 2022 Miroslav Doupovec, Jan Kurek, Włodzimierz Mikulski
oai:ojs.umcsd.home.net.pl:article/14457
2022-10-05T18:39:37Z
a:ART
"221005 2022 eng "
2083-7402
0365-1029
dc
A new characterization of strict convexity on normed linear spaces
Okicic, Nermin
University of Tuzla
Rekic-Vukovic, Amra
University of Tuzla
Pasic, Vedad
University of Tuzla
Translation; uniform convexity; strict convexity
We consider relations between the distance of a set \(A\) and the distance of its translated set \(A+x\) from 0, for \(x\in A\), in a normed linear space. If the relation \(d(0,A+x)<d(0,A)+\|x\|\) holds for exactly determined vectors \(x\in A\), where \(A\) is a convex, closed set with positive distance from 0, which we call (TP) property, then this property is equivalent to strict convexity of the space. We show that in uniformly convex spaces the considered property holds.
www.wydawnictwo.umcs.lublin.pl
2022-10-05 20:39:37
application/pdf
https://journals.umcs.pl/a/article/view/14457
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 1 (2022)
eng
Prawa autorskie (c) 2022 Nermin Okicic, Amra Rekic-Vukovic, Vedad Pasic
oai:ojs.umcsd.home.net.pl:article/14456
2022-10-05T18:39:37Z
a:ART
"221005 2022 eng "
2083-7402
0365-1029
dc
Matrix representations of third order jet groups
Navratil, Dusan
Brno University of Technology
Jet group; matrix; representation
In this paper, faithful matrix representations of the jet groups \(G^3_n\) are presented, following a detailed description of their components in block form. Such groups can be used further to study symmetries of differential equations. Elements of these matrix representations are derived.
www.wydawnictwo.umcs.lublin.pl
2022-10-05 20:39:37
application/pdf
https://journals.umcs.pl/a/article/view/14456
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 1 (2022)
eng
Prawa autorskie (c) 2022 Dusan Navratil
oai:ojs.umcsd.home.net.pl:article/14455
2022-10-05T18:39:37Z
a:ART
"221005 2022 eng "
2083-7402
0365-1029
dc
The twisted gauge-natural bilinear brackets on couples of linear vector fields and linear p-forms
Kurek, Jan
Maria Curie-Skłodowska University, Lublin
Mikulski, Włodzimierz
Jagiellonian University
Natural operator; linear vector field; linear p-form; Jacobi identity in Leibniz form
We completely describe all gauge-natural operators \(C\) which send linear \((p+2)\)-forms \(H\) on vector bundles \(E\) (with sufficiently large dimensional bases) into \(\mathbf{R}\)-bilinear operators \(C_H\) transforming pairs \((X_1\oplus\omega_1,X_2\oplus\omega_2)\) of couples of linear vector fields and linear \(p\)-forms on \(E\) into couples \(C_H(X_1\oplus\omega_1, X_2\oplus\omega_2)\) of linear vector fields and linear \(p\)-forms on \(E\). Further, we extract all \(C\) (as above) such that \(C_0\) is the restriction of the well-known Courant bracket and \(C_H\) satisfies the Jacobi identity in Leibniz form for all closed linear \((p+2)\)-forms \(H\).
www.wydawnictwo.umcs.lublin.pl
2022-10-05 20:39:37
application/pdf
https://journals.umcs.pl/a/article/view/14455
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 1 (2022)
eng
Prawa autorskie (c) 2022 Jan Kurek, Włodzimierz Mikulski
oai:ojs.umcsd.home.net.pl:article/14453
2022-10-05T18:39:37Z
a:ART
"221005 2022 eng "
2083-7402
0365-1029
dc
A note on the Banach–Mazur distances between \(c_0\) and other \(\ell_1\)-preduals
Gergont, Agnieszka
Maria Curie-Skłodowska University, Lublin
\(\ell_1\)-preduals; Banach--Mazur distance; \(c_0\) space
We prove that if \(X\) is an \(\ell_{1}\)-predual isomorphic to the space \(c_{0}\) of sequences converging to zero, then for any isomorphism \(T:X\rightarrow c_{0}\) we have \(\Vert T\Vert\, \Vert T^{-1}\Vert\ge1+2r^{*}(X)\), where \(r^{*}(X)\) is the smallest radius of the closed ball of the dual space \(X^{*}\) containing all the weak\(^{*}\) cluster points of the set of all extreme points of the closed unit ball of \(X^*\).
www.wydawnictwo.umcs.lublin.pl
2022-10-05 20:39:37
application/pdf
https://journals.umcs.pl/a/article/view/14453
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 1 (2022)
eng
Prawa autorskie (c) 2022 Agnieszka Gergont
oai:ojs.umcsd.home.net.pl:article/14452
2022-10-05T18:39:37Z
a:ART
"221005 2022 eng "
2083-7402
0365-1029
dc
Bell numbers and Kurepa’s conjecture
Gallardo, Luis
University of Brest
Artin–Schreier extension; Bell numbers; Kurepa conjecture
We prove under a mild condition that Kurepa's conjecture holds for the set of prime numbers \(p\) such that \((\frac{p-1}{2})! = {2 \overwithdelims () p\;}\) in \(\mathbb{F}_p\).
www.wydawnictwo.umcs.lublin.pl
2022-10-05 20:39:37
application/pdf
https://journals.umcs.pl/a/article/view/14452
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 1 (2022)
eng
Prawa autorskie (c) 2022 Luis Gallardo
oai:ojs.umcsd.home.net.pl:article/14451
2022-10-05T18:39:37Z
a:ART
"221005 2022 eng "
2083-7402
0365-1029
dc
Upper and lower bounds for an integral transform of positive operators in Hilbert spaces with applications
Dragomir, Silvestru Sever
Victoria University, Melbourne
Operator monotone functions; operator convex functions; operator inequalities; logarithmic operator inequalities
For a continuous and positive function \(w(\lambda)\), \(\lambda>0\) and a positive measure \(\mu\) on \((0,\infty )\) we consider the following integral transform
\[
\mathcal{D}( w,\mu ) ( T) :=\int_{0}^{\infty }w(\lambda) (\lambda +T)^{-1} d\mu ( \lambda ) ,
\]
where the integral is assumed to exist for any positive operator \(T\) on a complex Hilbert space \(H\). In this paper we obtain several upper and lower bounds for the difference \(\mathcal{D}( w,\mu ) ( A) -\mathcal{D}( w,\mu ) ( B)\) under certain assumptions for the operators \(A\) and \(B\). Some natural applications for operator monotone and operator convex functions are also given.
www.wydawnictwo.umcs.lublin.pl
2022-10-05 20:39:37
application/pdf
https://journals.umcs.pl/a/article/view/14451
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 76, No 1 (2022)
eng
Prawa autorskie (c) 2022 Silvestru Sever Dragomir
oai:ojs.umcsd.home.net.pl:article/13495
2022-02-21T19:08:02Z
a:ART
"220221 2022 eng "
2083-7402
0365-1029
dc
Contribution to the Hadamard multiplication theorem
Parol, Maciej
The John Paul II Catholic University of Lublin
Partyka, Dariusz
The John Paul II Catholic University of Lublin
Hadamard product; holomorphic extension; star product; Hadamard multiplication theorem
In this article we define a binary linear operator T for holomorphic functions in given open sets \(A\) and \(B\) in the complex plane under certain additional assumptions. It coincides with the classical Hadamard product of holomorphic functions in the case where \(A\) and \(B\) are the unit disk. We show that the operator T exists provided \(A\) and \(B\) are simply connected domains containing the origin. Moreover, T is determined explicitly by means of an integral form. To this aim we prove an alternative representation of the star product \(A*B\) of any sets \(A,B\subset\mathbb{C}\) containing the origin. We also touch the problem of holomorphic extensibility of Hadamard product.
www.wydawnictwo.umcs.lublin.pl
2022-02-21 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/13495
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 2 (2021)
eng
Prawa autorskie (c) 2021 Maciej Parol, Dariusz Partyka
oai:ojs.umcsd.home.net.pl:article/13493
2022-02-21T19:08:02Z
a:ART
"220221 2022 eng "
2083-7402
0365-1029
dc
The gauge-natural bilinear brackets on couples of linear vector fields and linear p-forms
Kurek, Jan
Maria Curie Skłodowska University, Lublin
Mikulski, Włodzimierz
Jagiellonian University
Natural operator; linear vector field; linear p-form; Jacobi identity in Leibniz form
We give complete description of all gauge-natural bilinear operators A transforming pairs of couples of linear vector fields and linear p-forms on a vector bundle E into couples of linear vector fields and linear p-forms on E and satisfying the Jacobi identity in Leibniz form.
www.wydawnictwo.umcs.lublin.pl
2022-02-21 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/13493
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 2 (2021)
eng
Prawa autorskie (c) 2021 Jan Kurek, Włodzimierz Mikulski
oai:ojs.umcsd.home.net.pl:article/13461
2022-02-21T19:08:02Z
a:ART
"220221 2022 eng "
2083-7402
0365-1029
dc
Three algebraic number systems based on the q-addition with applications
Ernst, Thomas
Uppsala University
q-real numbers; q-rational numbers; q-integers; q-trigonometric functions; biring; semiring
In the spirit of our earlier articles on \(q\)-\(\omega\) special functions, the purpose of this article is to present many new \(q\)-number systems, which are based on the \(q\)-addition, which was introduced in our previous articles and books. First, we repeat the concept biring, in order to prepare for the introduction of the \(q\)-integers, which extend the \(q\)-natural numbers from our previous book. We formally introduce a \(q\)-logarithm for the \(q\)-exponential function for later use. In order to find \(q\)-analogues of the corresponding formulas for the generating functions and \(q\)-trigonometric functions, we also introduce \(q\)-rational numbers. Then the so-called \(q\)-real numbers \(\mathbb{R}_{\oplus_{q}}\), with a norm, a \(q\)-deformed real line, and with three inequalities, are defined. The purpose of the more general \(q\)-real numbers \(\mathbb{R}_{q}\) is to allow the other \(q\)-addition too. The closely related JHC \(q\)-real numbers \(\mathbb{R}_{\boxplus_{q}}\) have applications to several \(q\)-Euler integrals. This brings us to a vector version of the \(q\)-binomial theorem from a previous paper, which is associated with a special case of the \(q\)-Lauricella function. New \(q\)-trigonometric function formulas are given to show the application of this umbral calculus. Then, some equalities between \(q\)-trigonometric zeros and extreme values are proved. Finally, formulas and graphs for \(q\)-hyperbolic functions are shown.
www.wydawnictwo.umcs.lublin.pl
2022-02-21 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/13461
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 2 (2021)
eng
Prawa autorskie (c) 2021 Thomas Ernst
oai:ojs.umcsd.home.net.pl:article/13460
2022-02-21T19:08:02Z
a:ART
"220221 2022 eng "
2083-7402
0365-1029
dc
Some Hermite–Hadamard type inequalities for the square norm in Hilbert spaces
Dragomir, Silvestru Sever
Victoria University, Melbourne City
Convex functions; Hermite–Hadamard inequality; midpoint inequality; power and exponential functions
Let \(\left( H;\left\langle \cdot ,\cdot \right\rangle \right)\) be a complex Hilbert space and \(f:[0,\infty )\rightarrow \mathbb{R}\) be convex (concave) on \([0,\infty )\). If \(x, y\in H\) with \(Re \left\langle x,y\right\rangle \geq 0\), then
\begin{align*}
f\left( \frac{\left\Vert x\right\Vert ^{2}+Re \left\langle x,y\right\rangle +\left\Vert y\right\Vert ^{2}}{3}\right) & \leq \left( \geq
\right) \int_{0}^{1}f\left( \left\Vert \left( 1-t\right) x+ty\right\Vert
^{2}\right) dt \\
& \leq \left( \geq \right) \frac{1}{3}\left[ f\left( \left\Vert x\right\Vert
^{2}\right) +f\left[ Re \left\langle x,y\right\rangle \right] +f\left(
\left\Vert y\right\Vert ^{2}\right) \right] .
\end{align*}
Some examples for power functions and exponential are also provided.
www.wydawnictwo.umcs.lublin.pl
2022-02-21 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/13460
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 2 (2021)
eng
Prawa autorskie (c) 2021 Silvestru Sever Dragomir
oai:ojs.umcsd.home.net.pl:article/13459
2022-02-21T19:08:02Z
a:ART
"220221 2022 eng "
2083-7402
0365-1029
dc
Generalized perturbed Ostrowski-type inequalities
Bohner, Martin
Missouri S&T, Rolla
Khan, Asif
University of Karachi
Khan, Maria
University of Karachi
Mehmood, Faraz
Dawood University of Engineering and Technology
Shaikh, Muhammad Awais
University of Karachi
Ostrowski’s inequality; perturbed inequality; twice differentiable
In this paper, we present new perturbed inequalities of Ostrowski-type, for twice differentiable functions with absolutely continuous first derivative and second-order derivative in some \(L^p\)-space for \(1\leq p\leq \infty\).
www.wydawnictwo.umcs.lublin.pl
2022-02-21 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/13459
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 2 (2021)
eng
Prawa autorskie (c) 2021 Martin Bohner, Asif Khan, Maria Khan, Faraz Mehmood, Muhammad Awais Shaikh
oai:ojs.umcsd.home.net.pl:article/13457
2022-02-21T19:08:02Z
a:ART
"220221 2022 eng "
2083-7402
0365-1029
dc
On extensions of matrix-valued Hahn–Sturm–Liouville operators
Allahverdiev, Bilender
Suleyman Demirel University, Isparta
Tuna, Huseyin
Mehmet Akif Ersoy University, Burdur
Hahn–Sturm–Liouville equation; minimal and maximal operators; maximal dissipative; accumulative and self-adjoint extensions
In this paper, we study matrix-valued Hahn–Sturm–Liouville equations. We give an existence and uniqueness result. We introduce the corresponding maximal and minimal operators for this system, and some properties of these operators are investigated. Finally, we characterize extensions (maximal dissipative, maximal accumulative and self-adjoint) of the minimal symmetric operator.
www.wydawnictwo.umcs.lublin.pl
2022-02-21 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/13457
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 2 (2021)
eng
Prawa autorskie (c) 2021 Bilender Allahverdiev, Huseyin Tuna
oai:ojs.umcsd.home.net.pl:article/12719
2021-07-24T10:07:03Z
a:ART
"210724 2021 eng "
2083-7402
0365-1029
dc
On lifting of 2-vector fields to \(r\)-jet prolongation of the tangent bundle
Kurek, Jan
Maria Curie Skłodowska University, Lublin
Mikulski, Włodzimierz
Jagiellonian University
Natural operator; 2-vector field; r-jet prolongation
If \(m \geq 3\) and \(r \geq 1\), we prove that any natural linear operator \(A\) lifting 2-vector fields \(\Lambda \in \Gamma (\bigwedge^2 TM)\) (i.e., skew-symmetric tensor fields of type (2,0)) on \(m\)-dimensional manifolds \(M\) into 2-vector fields \(A(\Lambda)\) on \(r\)-jet prolongation \(J^rTM\) of the tangent bundle \(TM\) of \(M\) is the zero one.
www.wydawnictwo.umcs.lublin.pl
2021-07-24 12:07:03
application/pdf
https://journals.umcs.pl/a/article/view/12719
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 1 (2021)
eng
Prawa autorskie (c) 2021 Jan Kurek, Włodzimierz Mikulski
oai:ojs.umcsd.home.net.pl:article/12717
2021-07-24T10:07:03Z
a:ART
"210724 2021 eng "
2083-7402
0365-1029
dc
Regular matrix methods of summability and real interpolation
Kryczka, Andrzej
Maria Curie Skłodowska University, Lublin
Kurlej, Konrad
Real interpolation spaces; regular methods of summability; Banach–Saks property
We show that the Banach–Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin–Prikry theorem on Ramsey sets. The results apply to several matrix methods of summability, such as Cesaro, Nørlund or Holder methods.
www.wydawnictwo.umcs.lublin.pl
2021-07-24 12:07:03
application/pdf
https://journals.umcs.pl/a/article/view/12717
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 1 (2021)
eng
Prawa autorskie (c) 2021 Andrzej Kryczka, Konrad Kurlej
oai:ojs.umcsd.home.net.pl:article/12716
2021-07-24T10:07:03Z
a:ART
"210724 2021 eng "
2083-7402
0365-1029
dc
Exponential representations of injective continuous mappings in radial sets
Jastrzębska, Magdalena
Lublin University of Technology
Partyka, Dariusz
The John Paul II Catholic University of Lublin
Angular parametrization; cuttings of the plane; functional equations; fundamental group of the unit circle; lifted mapping; logarithmic functions of complex variable; quasiconformal mappings
By a radial set we understand a non-empty set \(A \subset \mathbb{C} \setminus \{0\}\) such that for every point \(z\in A\) the circle with centre at the origin and passing through \(z\) is included in \(A\). We show in a detailed manner that every continuous and injective function \(F : A \to \mathbb{C} \setminus \{0\}\) can be represented by means of the natural exponential function \(\text{exp}\) and a certain continuous function \(\varPhi : \text{Ei}(A) \to \mathbb{C}\), where \(\text{Ei}(A)\) is the set of all \(z \in \mathbb{C}\) with the property \(\text{exp}(iz) \in A\). The representation is given by \(F(\text{exp}(iz)) = \text{exp}(i\varPhi (z))\) for \(z \in \text{Ei}(A)\). We also touch the problem of the injectivity of \(\varPhi\).
www.wydawnictwo.umcs.lublin.pl
2021-07-24 12:07:03
application/pdf
https://journals.umcs.pl/a/article/view/12716
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 1 (2021)
eng
Prawa autorskie (c) 2021 Magdalena Jastrzebska, Dariusz Partyka
oai:ojs.umcsd.home.net.pl:article/12712
2021-07-24T10:07:03Z
a:ART
"210724 2021 eng "
2083-7402
0365-1029
dc
Weighted integral inequalities related to Wirtinger’s result for p-norms with applications
Dragomir, Silvestru Sever
Victoria University, Melbourne City
Wirtinger’s inequality; trapezoid inequality; Gruss’ inequality; Jensen’s inequality
In this paper we establish several natural consequences of some Wirtinger type integral inequalities for p-norms. The corresponding weighted versions and applications related to the weighted trapezoid inequalities, to weighted Gruss’ type inequalities and reverses of Jensen’s inequality are also provided.
www.wydawnictwo.umcs.lublin.pl
2021-07-24 12:07:03
application/pdf
https://journals.umcs.pl/a/article/view/12712
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 1 (2021)
eng
Prawa autorskie (c) 2021 Silvestru Sever Dragomir
oai:ojs.umcsd.home.net.pl:article/12711
2021-07-24T10:07:03Z
a:ART
"210724 2021 eng "
2083-7402
0365-1029
dc
On a new two-parameter generalization of dual-hyperbolic Jacobsthal numbers
Bród, Dorota
Rzeszów University of Technology
Szynal-Liana, Anetta
Rzeszów University of Technology
Włoch, Iwona
Rzeszów University of Technology
Jacobsthal numbers; dual-hyperbolic numbers; dualhyperbolic Jacobsthal numbers; Binet formula; Catalan identity; Cassini identity
In this paper we introduce two-parameter generalization of dualhyperbolic Jacobsthal numbers: dual-hyperbolic (s,p)-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, d’Ocagne identities. Moreover, we give the generating function, matrix generator and summation formula for these numbers.
www.wydawnictwo.umcs.lublin.pl
2021-07-24 12:07:03
application/pdf
https://journals.umcs.pl/a/article/view/12711
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 75, No 1 (2021)
eng
Prawa autorskie (c) 2021 Dorota Bród, Anetta Szynal-Liana, Iwona Włoch
oai:ojs.umcsd.home.net.pl:article/11836
2021-01-04T09:08:07Z
a:ART
"201228 2020 eng "
2083-7402
0365-1029
dc
A new iterative method for generalized equilibrium and constrained convex minimization problems
Yazdi, M.
Malard Branch, Islamic Azad University
Generalized equilibrium problem; constrained convex minimization; averaged mapping; iterative method; variational inequality
The gradient-projection algorithm (GPA) plays an important role in solving constrained convex minimization problems. In this paper, we combine the GPA and averaged mapping approach to propose an explicit composite iterative scheme for finding a common solution of a generalized equilibrium problem and a constrained convex minimization problem. Then, we prove a strong convergence theorem which improves and extends some recent results.
www.wydawnictwo.umcs.lublin.pl
2020-12-28 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11836
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 2 (2020)
eng
Prawa autorskie (c) 2020 M. Yazdi
oai:ojs.umcsd.home.net.pl:article/11835
2021-01-04T09:08:07Z
a:ART
"201228 2020 eng "
2083-7402
0365-1029
dc
Forced oscillation of conformable fractional partial delay differential equations with impulses
Saker, S. H.
Galala University, Galala New City
Logaarasi, K.
Vivekanandha College of Arts And Sciences for Women (Autonomous)
Sadhasivam, V.
Thiruvalluvar Government Arts College Affil. to Periyar University, Salem
Oscillation; fractional differential equations; impulse
In this paper, we establish some interval oscillation criteria for impulsive conformable fractional partial delay differential equations with a forced term. The main results will be obtained by employing Riccati technique. Our results extend and improve some results reported in the literature for the classical differential equations without impulses. An example is provided to illustrate the relevance of the new theorems.
www.wydawnictwo.umcs.lublin.pl
2020-12-28 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11835
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 2 (2020)
eng
Prawa autorskie (c) 2020 S. H. Saker, K. Logaarasi, V. Sadhasivam
oai:ojs.umcsd.home.net.pl:article/11834
2021-01-04T09:08:07Z
a:ART
"201228 2020 eng "
2083-7402
0365-1029
dc
Cullis-Radić determinant of a rectangular matrix which has a number of identical columns
Makarewicz, Anna
Lublin University of Technology
Pikuta, Piotr
Maria Curie-Skłodowska University, Lublin
Determinant; rectangular matrix; Cullis-Radić determinant; repeated columns
In this paper we present how identical columns affect the Cullis-Radić determinant of an \(m\times n\) matrix, where \(m\leq n\).
www.wydawnictwo.umcs.lublin.pl
2020-12-28 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11834
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 2 (2020)
eng
Prawa autorskie (c) 2020 Anna Makarewicz, Piotr Pikuta
oai:ojs.umcsd.home.net.pl:article/11833
2021-01-04T09:08:07Z
a:ART
"201228 2020 eng "
2083-7402
0365-1029
dc
Kaplan classes of a certain family of functions
Ignaciuk, Szymon
University of Life Sciences in Lublin
Parol, Maciej
The John Paul II Catholic University of Lublin
Kaplan classes; univalence; close-to-convex functions; critical points
We give the complete characterization of members of Kaplan classes of products of power functions with all zeros symmetrically distributed in \(\mathbb{T} := \{z \in\mathbb{C} : |z| = 1\}\) and weakly monotonic sequence of powers. In this way we extend Sheil-Small’s theorem. We apply the obtained result to study univalence of antiderivative of these products of power functions.
www.wydawnictwo.umcs.lublin.pl
2020-12-28 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11833
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 2 (2020)
eng
Prawa autorskie (c) 2020 Szymon Ignaciuk, Maciej Parol
oai:ojs.umcsd.home.net.pl:article/11832
2021-01-04T09:08:07Z
a:ART
"201228 2020 eng "
2083-7402
0365-1029
dc
Reverse and improved inequalities for operator monotone functions
Dragomir, Sever
Victoria University, Melbourne City
Operator monotone functions; Lowner-Heinz inequality; logarithmic operator inequality
In this paper we provide several refinements and reverse operator inequalities for operator monotone functions in Hilbert spaces. We also obtain refinements and a reverse of Lowner-Heinz celebrated inequality that holds in the case of power function.
www.wydawnictwo.umcs.lublin.pl
2020-12-28 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11832
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 2 (2020)
eng
Prawa autorskie (c) 2020 Sever Dragomir
oai:ojs.umcsd.home.net.pl:article/11831
2021-01-04T09:08:07Z
a:ART
"201228 2020 eng "
2083-7402
0365-1029
dc
Construction of nonuniform periodic wavelet frames on non-Archimedean fields
Ahmad, Owais
National Institute of Technology, Srinagar, Jammu and Kashmir
Nonuniform frame; wavelet mask; scaling function; Fourier transform
In real life applications not all signals are obtained by uniform shifts; so there is a natural question regarding analysis and decompositions of these types of signals by a stable mathematical tool. Gabardo and Nashed, and Gabardo and Yu filled this gap by the concept of nonuniform multiresolution analysis and nonuniform wavelets based on the theory of spectral pairs for which the associated translation set \(\Lambda= \{0,r/N\}+2\mathbb{Z}\) is no longer a discrete subgroup of \(\mathbb{R}\) but a spectrum associated with a certain one-dimensional spectral pair and the associated dilation is an even positive integer related to the given spectral pair. In this paper, we introduce a notion of nonuniform periodic wavelet frame on non-Archimedean field. Using the Fourier transform technique and the unitary extension principle, we propose an approach for the construction of nonuniform periodic wavelet frames on non-Archimedean fields.
www.wydawnictwo.umcs.lublin.pl
2020-12-28 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11831
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 2 (2020)
eng
Prawa autorskie (c) 2020 Owais Ahmad
oai:ojs.umcsd.home.net.pl:article/11487
2020-10-23T07:21:39Z
a:ART
"201020 2020 eng "
2083-7402
0365-1029
dc
On generalized Mersenne hybrid numbers
Szynal-Liana, Anetta
Rzeszów University of Technology
Włoch, Iwona
Rzeszów University of Technology
Mersenne numbers, recurrence relations, complex numbers, hyperbolic numbers, dual numbers
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider a special kind of hybrid numbers, namely the Mersenne hybrid numbers and we give some of their properties.
www.wydawnictwo.umcs.lublin.pl
2020-10-20 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11487
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 1 (2020)
eng
Prawa autorskie (c) 2020 Anetta Szynal-Liana
oai:ojs.umcsd.home.net.pl:article/11486
2020-10-23T07:21:39Z
a:ART
"201020 2020 eng "
2083-7402
0365-1029
dc
Inequalities concerning the rate of growth of polynomials involving the polar derivative
Mir, Abdullah
University of Kashmir
Malik, Adil Hussain
University of Kashmir
Bernstein inequality; lacunary polynomial; zeros
This paper contains some results for algebraic polynomials in the complex plane involving the polar derivative that are inspired by some classical results of Bernstein. Obtained results yield the polar derivative analogues of some inequalities giving estimates for the growth of derivative of lacunary polynomials.
www.wydawnictwo.umcs.lublin.pl
2020-10-20 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11486
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 1 (2020)
eng
Prawa autorskie (c) 2020 Abdullah Mir, Adil Hussain Malik
oai:ojs.umcsd.home.net.pl:article/11485
2020-10-23T07:21:39Z
a:ART
"201020 2020 eng "
2083-7402
0365-1029
dc
On naturality of some construction of connections
Kurek, Jan
Maria Curie Skłodowska University, Lublin
Mikulski, Włodzimierz
Jagiellonian University
General connection; classical linear connection; fibred manifold; bundle functor; natural operator
Let \(F\) be a bundle functor on the category of all fibred manifolds and fibred maps. Let \(\Gamma\) be a general connection in a fibred manifold \(\mathrm{pr}:Y\to M\) and \(\nabla\) be a classical linear connection on \(M\). We prove that the well-known general connection \(\mathcal{F}(\Gamma,\nabla)\) in \(FY\to M\) is canonical with respect to fibred maps and with respect to natural transformations of bundle functors.
www.wydawnictwo.umcs.lublin.pl
2020-10-20 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11485
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 1 (2020)
eng
Prawa autorskie (c) 2020 Jan Kurek, Włodzimierz Mikulski
oai:ojs.umcsd.home.net.pl:article/11484
2020-10-23T07:21:39Z
a:ART
"201020 2020 eng "
2083-7402
0365-1029
dc
Remarks on retracting balls on spherical caps in \(c_{0}\), \(c\), \(l^{\infty }\) spaces
Goebel, Kazimierz
Maria Curie Skłodowska University, Lublin
Retraction; Lipschitz constant; radial projection; truncation; spherical cap
For any infinite dimensional Banach space there exists a lipschitzian retraction of the closed unit ball B onto the unit sphere S. Lipschitz constants for such retractions are, in general, only roughly estimated. The paper is illustrative. It contains remarks, illustrations and estimates concerning optimal retractions onto spherical caps for sequence spaces with the uniform norm.
www.wydawnictwo.umcs.lublin.pl
2020-10-20 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11484
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 1 (2020)
eng
Prawa autorskie (c) 2020 Kazimierz Goebel Goebel
oai:ojs.umcsd.home.net.pl:article/11482
2020-10-23T07:21:39Z
a:ART
"201020 2020 eng "
2083-7402
0365-1029
dc
On the complex q-Appell polynomials
Ernst, Thomas
Uppsala University
Complex q-Appell polynomials; q-complex numbers; q-complex Bernoulli and Euler polynomials; q-Cauchy-Riemann equations
The purpose of this article is to generalize the ring of \(q\)-Appell polynomials to the complex case. The formulas for \(q\)-Appell polynomials thus appear again, with similar names, in a purely symmetric way. Since these complex \(q\)-Appell polynomials are also \(q\)-complex analytic functions, we are able to give a first example of the \(q\)-Cauchy-Riemann equations. Similarly, in the spirit of Kim and Ryoo, we can define \(q\)-complex Bernoulli and Euler polynomials. Previously, in order to obtain the \(q\)-Appell polynomial, we would make a \(q\)-addition of the corresponding \(q\)-Appell number with \(x\). This is now replaced by a \(q\)-addition of the corresponding \(q\)-Appell number with two infinite function sequences \(C_{\nu,q}(x,y)\) and \(S_{\nu,q}(x,y)\) for the real and imaginary part of a new so-called \(q\)-complex number appearing in the generating function. Finally, we can prove \(q\)-analogues of the Cauchy-Riemann equations.
www.wydawnictwo.umcs.lublin.pl
2020-10-20 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11482
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 1 (2020)
eng
Prawa autorskie (c) 2020 Thomas Ernst
oai:ojs.umcsd.home.net.pl:article/11481
2020-10-23T07:21:39Z
a:ART
"201020 2020 eng "
2083-7402
0365-1029
dc
On the number of empty cells in the allocation scheme of indistinguishable particles
Chuprunov, Alexey
Kazan Federal University
Fazekas, Istvan
University of Debrecen
Allocation scheme of indistinguishable particles into different cells; Gaussian random variable; Berry-Esseen inequality; limit theorem; local limit theorem
The allocation scheme of \(n\) indistinguishable particles into \(N\) different cells is studied. Let the random variable \(\mu_0(n,K,N)\) be the number of empty cells among the first \(K\) cells. Let \(p=\frac{n}{n+N}\). It is proved that \(\frac{\mu_0(n,K,N)-K(1-p)}{\sqrt{ K p(1-p)}}\) converges in distribution to the Gaussian distribution with expectation zero and variance one, when \(n,K, N\to\infty\) such that \(\frac{n}{N}\to\infty\) and \(\frac{n}{NK}\to 0\). If \(n,K, N\to\infty\) so that \(\frac{n}{N}\to\infty\) and \(\frac{NK}{n}\to \lambda\), where \(0<\lambda<\infty\), then \(\mu_0(n,K,N)\) converges in distribution to the Poisson distribution with parameter \(\lambda\). Two applications of the results are given to mathematical statistics. First, a method is offered to test the value of \(n\). Then, an analogue of the run-test is suggested with an application in signal processing.
www.wydawnictwo.umcs.lublin.pl
2020-10-20 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11481
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 1 (2020)
eng
Prawa autorskie (c) 2020 Alexey Chuprunov, Istvan Fazekas
oai:ojs.umcsd.home.net.pl:article/11480
2020-10-23T07:21:39Z
a:ART
"201020 2020 eng "
2083-7402
0365-1029
dc
On split r-Jacobsthal quaternions
Bród, Dorota
Rzeszów University of Technology
Jacobsthal numbers; quaternion; split quaternion; split Jacobsthal quaternion; Binet formula
In this paper we introduce a one-parameter generalization of the split Jacobsthal quaternions, namely the split r-Jacobsthal quaternions. We give a generating function, Binet formula for these numbers. Moreover, we obtain some identities, among others Catalan, Cassini identities and convolution identity for the split r-Jacobsthal quaternions.
www.wydawnictwo.umcs.lublin.pl
2020-10-20 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/11480
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 74, No 1 (2020)
eng
Prawa autorskie (c) 2020 Dorota Bród
oai:ojs.umcsd.home.net.pl:article/10318
2020-03-06T08:36:41Z
a:ART
"200116 2020 eng "
2083-7402
0365-1029
dc
A sharpened form of the inverse function theorem
Elin, Mark
ORT Braude College, Karmiel
Shoikhet, David
Holon Institute of Technology
Inverse function theorem; nonlinear resolvent; holomorphic function
In this note we establish an advanced version of the inverse function theorem and study some local geometrical properties like starlikeness and hyperbolic convexity of the inverse function under natural restrictions on the numerical range of the underlying mapping.
www.wydawnictwo.umcs.lublin.pl
2020-01-16 07:29:37
application/pdf
https://journals.umcs.pl/a/article/view/10318
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 2 (2019)
eng
Prawa autorskie (c) 2019 Mark Elin, David Shoikhet
oai:ojs.umcsd.home.net.pl:article/10316
2020-03-06T08:36:41Z
a:ART
"200116 2020 eng "
2083-7402
0365-1029
dc
Coefficient body for nonlinear resolvents
Elin, Mark
Ort Braude College, Karmiel
Jacobzon, Fiana
Ort Braude College, Karmiel
Holomorphic function; infinitesimal generator; nonlinear resolvent; Schur parameter
This paper is devoted to the study of families of so-called nonlinear resolvents. Namely, we construct polynomial transformations which map the closed unit polydisks onto the coefficient bodies for the resolvent families. As immediate applications of our results we present a covering theorem and a sharp estimate for the Schwarzian derivative at zero on the class of resolvents.
www.wydawnictwo.umcs.lublin.pl
2020-01-16 07:29:37
application/pdf
https://journals.umcs.pl/a/article/view/10316
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 2 (2019)
eng
Prawa autorskie (c) 2019 Mark Elin, Fiana Jacobzon
oai:ojs.umcsd.home.net.pl:article/10306
2020-03-06T08:36:41Z
a:ART
"200116 2020 eng "
2083-7402
0365-1029
dc
On the almost sure convergence of randomly indexed maximum of random variables
Krajka, Andrzej
Maria Curie Skłodowska University, Lublin
Rychlik, Zdzisław
Maria Curie-Skłodowska University, Lublin
Wasiura-Maślany, Joanna
The John Paul II Catholic University of Lublin
Almost sure central limit theorem; randomly indexed sums
We prove an almost sure random version of a maximum limit theorem, using logarithmic means for \(\max_{1\leq i\leq N_n} X_i\), where \(\{X_n, n \geq 1\}\) is a sequence of identically distributed random variables and \(\{N_n, n \geq 1\}\) is a sequence of positive integer random variables independent of \(\{X_n, n \geq 1\}\). Furthermore, we consider the almost sure random version of a limit theorem for \(k\)th order statistics.
www.wydawnictwo.umcs.lublin.pl
2020-01-16 07:29:37
application/pdf
https://journals.umcs.pl/a/article/view/10306
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 2 (2019)
eng
Prawa autorskie (c) 2019 Andrzej Krajka, Zdzisław Rychlik, Joanna Wasiura-Maślany
oai:ojs.umcsd.home.net.pl:article/10290
2020-03-06T08:36:41Z
a:ART
"200116 2020 eng "
2083-7402
0365-1029
dc
Systems of conservation laws with discontinuous fluxes and applications to traffic
Rosini, Massimiliano
Maria Curie Skłodowska University, Lublin
Conservation laws; Aw-Rascle-Zhang model for vehicular traffic; discontinuous flux; follow-the-leader model; Riemann solvers; point constraint on the flux; point constraint on the velocity
In this paper we study \(2\times 2\) systems of conservation laws with discontinuous fluxes arising in vehicular traffic modeling. The main goal is to introduce an appropriate notion of solution. To this aim we consider physically reasonable microscopic follow-the-leader models. Macroscopic Riemann solvers are then obtained as many particle limits. This approach leads us to develop six models. We propose a unified way to describe such models, which highlights their common property of maximizing the density flow across the interface under appropriate physical restrictions depending on the case at hand.
www.wydawnictwo.umcs.lublin.pl
2020-01-16 07:29:37
application/pdf
https://journals.umcs.pl/a/article/view/10290
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 2 (2019)
eng
Prawa autorskie (c) 2019 Massimiliano Rosini
oai:ojs.umcsd.home.net.pl:article/10289
2020-03-06T08:36:41Z
a:ART
"200116 2020 eng "
2083-7402
0365-1029
dc
Approximations of self-adjoint \(C_0\)-semigroups in the operator-norm topology
Zagrebnov, Valentin
Centre de Mathematiques et Informatique - Technopole Chateau-Gombert, Marseille
Strongly continuous semigroup; Chernoff approximation formula; Trotter–Kato product formulae
The paper improves approximation theory based on the Trotter–Kato product formulae. For self-adjoint \(C_0\)-semigroups we develop a lifting of the strongly convergent Chernoff approximation (or product) formula to convergence in the operator-norm topology. This allows to obtain optimal estimate for the rate of operator-norm convergence of Trotter–Kato product formulae for Kato functions from the class \(K_2\).
www.wydawnictwo.umcs.lublin.pl
2020-01-16 07:29:37
application/pdf
https://journals.umcs.pl/a/article/view/10289
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 2 (2019)
eng
Prawa autorskie (c) 2019 Valentin Zagrebnov
oai:ojs.umcsd.home.net.pl:article/10261
2020-03-06T08:36:41Z
a:ART
"200116 2020 eng "
2083-7402
0365-1029
dc
Speeds of convergence of orbits of non-elliptic semigroups of holomorphic self-maps of the unit disk
Bracci, Filippo
Universita di Roma “Tor Vergata”
Semigroups of holomorphic functions; hyperbolic geometry; dynamical systems
We introduce three quantities related to orbits of non-elliptic continuous semigroups of holomorphic self-maps of the unit disk, the total speed, the orthogonal speed, and the tangential speed and show how they are related and what can be inferred from those.
www.wydawnictwo.umcs.lublin.pl
2020-01-16 07:29:37
application/pdf
https://journals.umcs.pl/a/article/view/10261
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 2 (2019)
eng
Prawa autorskie (c) 2019 Filippo Bracci
oai:ojs.umcsd.home.net.pl:article/10260
2020-03-06T08:36:41Z
a:ART
"200116 2020 eng "
2083-7402
0365-1029
dc
Physicist’s approach to public transportation networks: between data processing and statistical physics
Korduba, Yaryna
Ukrainian Catholic University, Lviv
Holovatch, Yurij
Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, Lviv
de Regt, Robin
Coventry University, Coventry
Complex systems; complex networks; statistical physics; transportation networks
In this paper we aim to demonstrate how physical perspective enriches statistical analysis when dealing with a complex system of many interacting agents of non-physical origin. To this end, we discuss analysis of urban public transportation networks viewed as complex systems. In such studies, a multi-disciplinary approach is applied by integrating methods in both data processing and statistical physics to investigate the correlation between public transportation network topological features and their operational stability. These studies incorporate concepts of coarse graining and clusterization, universality and scaling, stability and percolation behavior, diffusion and fractal analysis.
www.wydawnictwo.umcs.lublin.pl
2020-01-16 07:29:37
application/pdf
https://journals.umcs.pl/a/article/view/10260
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 2 (2019)
eng
Prawa autorskie (c) 2019 Yaryna Korduba, Yurij Holovatch, Robin de Regt
oai:ojs.umcsd.home.net.pl:article/10237
2020-03-06T08:36:41Z
a:ART
"200116 2020 eng "
2083-7402
0365-1029
dc
Stability of preemptive EDF queueing networks
Kruk, Łukasz
Maria Curie Skłodowska University, Lublin
Multiclass queueing networks; deadlines; preemption; stability; fluid models; fluid limits
We show stability of preemptive, strictly subcritical EDF networks with Markovian routing. To this end, we prove that the associated fluid limits satisfy the first-in-system, first-out (FISFO) fluid model equations and thus, by an extension of a result of Bramson (2001), the corresponding fluid models are stable. We also demonstrate that in a preemptive multiclass EDF network, after a time large enough to process all the initial customers to completion, the maximal number of partially served customers in the system over a finite time horizon converges to zero in \(L^1\) under fluid scaling.
www.wydawnictwo.umcs.lublin.pl
2020-01-16 07:29:37
application/pdf
https://journals.umcs.pl/a/article/view/10237
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 2 (2019)
eng
Prawa autorskie (c) 2019 Łukasz Kruk
oai:ojs.umcsd.home.net.pl:article/10236
2020-03-06T08:36:41Z
a:ART
"200116 2020 eng "
2083-7402
0365-1029
dc
Logarithmic norms and regular perturbations of differential equations
Banasiak, Jacek
University of Pretoria
Logarithmic norm; stability; regular perturbations of differential equations
In this note we explore the concept of the logarithmic norm of a matrix and illustrate its applicability by using it to find conditions under which the convergence of solutions of regularly perturbed systems of ordinary differential equations is uniform globally in time.
www.wydawnictwo.umcs.lublin.pl
2020-01-16 07:29:37
application/pdf
https://journals.umcs.pl/a/article/view/10236
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 2 (2019)
eng
Prawa autorskie (c) 2019 Jacek Banasiak
oai:ojs.umcsd.home.net.pl:article/10152
2019-12-19T09:33:50Z
a:ART
"191219 2019 eng "
2083-7402
0365-1029
dc
Admissible classes of multivalent functions associated with an integral operator
Seoudy, Tamer
Fayoum University
Aouf, Mohamed
Mansoura University
Analytic function; superordination; sandwich-type; admissible class; integral operator
In this paper we investigate some applications of the differential subordination and superordination of classes of admissible functions associated with an integral operator. Additionally, differential sandwich-type results are obtained.
www.wydawnictwo.umcs.lublin.pl
2019-12-19 10:33:50
application/pdf
https://journals.umcs.pl/a/article/view/10152
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 1 (2019)
eng
Prawa autorskie (c) 2019 Tamer Seoudy, Mohamed Aouf
oai:ojs.umcsd.home.net.pl:article/10142
2019-12-19T09:33:50Z
a:ART
"191219 2019 eng "
2083-7402
0365-1029
dc
Some results on convex meromorphic functions
Ucar, Faruk
Marmara University, Istanbul
Avci, Yusuf
Istanbul Gelisim University
Univalent functions; convex meromorphic functions; starlike functions
In this paper, we define a function \(F : D\times D\times D\to \mathbb{C}\) in terms of \(f\) and show that Re\(F > 0\) for all \(\zeta,z,w \in D\) if and only if \(f\) belongs to the class of convex meromorphic functions.
www.wydawnictwo.umcs.lublin.pl
2019-12-19 10:33:50
application/pdf
https://journals.umcs.pl/a/article/view/10142
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 1 (2019)
eng
Prawa autorskie (c) 2019 Faruk Ucar, Yusuf Avci
oai:ojs.umcsd.home.net.pl:article/10140
2019-12-29T15:41:04Z
a:ART
"191219 2019 eng "
2083-7402
0365-1029
dc
Some properties of the class \(\mathcal{U}\)
Obradovic, Milutin
University of Belgrade
Tuneski, Nikola
Ss. Cyril and Methodius University in Skopje, Republic of North Macedonia
Analytic; class \(\mathcal{U}\); starlike, \(\alpha\)-convex; Hankel determinant
In this paper we study the class \(\mathcal{U}\) of functions that are analytic in the open unit disk \(D =\{z : |z| < 1\}\), normalized such that\(f(0) = f'(0)-1 = 0\) and satisfy \[\left|\left[\frac{z}{f(z)}\right]^2f'(z) - 1\right|< 1\quad (z\in D).\]
For functions in the class \(\mathcal{U}\) we give sharp estimates of the second and the third Hankel determinant, its relationship with the class of \(\alpha\)-convex functions, as well as certain starlike properties.
www.wydawnictwo.umcs.lublin.pl
2019-12-19 10:33:50
application/pdf
https://journals.umcs.pl/a/article/view/10140
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 1 (2019)
eng
Prawa autorskie (c) 2019 Milutin Obradovic, Nikola Tuneski
oai:ojs.umcsd.home.net.pl:article/10138
2019-12-19T09:33:50Z
a:ART
"191219 2019 eng "
2083-7402
0365-1029
dc
Growth of a polynomial not vanishing in a disk
Mir, Abdullah
University of Kashmir, Srinagar
Polynomial; maximum modulus principle; zeros
This paper deals with the problem of finding some upper bound estimates for the maximum modulus of the derivative and higher order derivatives of a complex polynomial on a disk under the assumption that the polynomial has no zeros in another disk. The estimates obtained strengthen the well-known inequality of Ankeny and Rivlin about polynomials.
www.wydawnictwo.umcs.lublin.pl
2019-12-19 10:33:50
application/pdf
https://journals.umcs.pl/a/article/view/10138
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 1 (2019)
eng
Prawa autorskie (c) 2019 Abdullah Mir
oai:ojs.umcsd.home.net.pl:article/10137
2019-12-19T09:33:50Z
a:ART
"191219 2019 eng "
2083-7402
0365-1029
dc
Some inequalities for maximum modulus of rational functions
Mir, Abdullah
University of Kashmir, Srinagar
Rational function; polynomial; poles; zeros
In this paper, we establish some inequalities for rational functions with prescribed poles and restricted zeros in the sup-norm on the unit circle in the complex plane. Generalizations and refinements of rational function inequalities of Govil, Li, Mohapatra and Rodriguez are obtained.
www.wydawnictwo.umcs.lublin.pl
2019-12-19 10:33:50
application/pdf
https://journals.umcs.pl/a/article/view/10137
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 1 (2019)
eng
Prawa autorskie (c) 2019 Abdullah Mir
oai:ojs.umcsd.home.net.pl:article/10136
2019-12-19T09:33:50Z
a:ART
"191219 2019 eng "
2083-7402
0365-1029
dc
Criteria of univalence for a certain integral operator
Ignaciuk, Szymon
University of Life Sciences, Lublin
Parol, Maciej
The John Paul II Catholic University of Lublin
Univalence; integral operators; Kaplan classes
In this article we consider the problem of univalence of a function introduced by Breaz and Ularu, improve some of their results and receive not only univalence conditions but also close-to-convex conditions for this function. To this aim, we used our method based on Kaplan classes.
www.wydawnictwo.umcs.lublin.pl
2019-12-19 10:33:50
application/pdf
https://journals.umcs.pl/a/article/view/10136
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 1 (2019)
eng
Prawa autorskie (c) 2019 Szymon Ignaciuk, Maciej Parol
oai:ojs.umcsd.home.net.pl:article/10135
2019-12-19T09:33:50Z
a:ART
"191219 2019 eng "
2083-7402
0365-1029
dc
On the convergence of certain integrals
Hachani, Mohamed Amine
Universite de Montreal, Montreal
Entire functions; Hadamard’s three-circles theorem; infinite integrals
Let \(M(r) := \max_{|z|=r} |f(z)|\), where \(f(z)\) is an entire function. Also let \(\alpha> 0\) and \(\beta>1\). We discuss the behavior of the integrand \(M(r)e^{-\alpha(log r)^\beta}\) as \(r \to \infty\) if \(\int_1^\infty M(r)e^{-\alpha(log r)^\beta}dr\) is convergent.
www.wydawnictwo.umcs.lublin.pl
2019-12-19 10:33:50
application/pdf
https://journals.umcs.pl/a/article/view/10135
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 1 (2019)
eng
Prawa autorskie (c) 2019 Mohamed Amine Hachani
oai:ojs.umcsd.home.net.pl:article/10134
2019-12-19T09:33:50Z
a:ART
"191219 2019 eng "
2083-7402
0365-1029
dc
Additive inequalities for weighted harmonic and arithmetic operator means
Dragomir, Sever
Victoria University, Melbourne City
Young’s inequality; convex functions; arithmetic meanharmonic mean inequality; operator means; operator inequalities
In this paper we establish some new upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means under various assumptions for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.
www.wydawnictwo.umcs.lublin.pl
2019-12-19 10:33:50
application/pdf
https://journals.umcs.pl/a/article/view/10134
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 73, No 1 (2019)
eng
Prawa autorskie (c) 2019 Sever Dragomir
oai:ojs.umcsd.home.net.pl:article/8445
2018-12-22T21:03:15Z
a:ART
"181222 2018 eng "
2083-7402
0365-1029
dc
Generalized trend constants of Lipschitz mappings
Szczepanik, Mariusz
Maria Curie-Skłodowska University
Banach space; Lipschitz mapping; fixed point
In 2015, Goebel and Bolibok defined the initial trend coefficient of a mapping and the class of initially nonexpansive mappings. They proved that the fixed point property for nonexpansive mappings implies the fixed point property for initially nonexpansive mappings. We generalize the above concepts and prove an analogous fixed point theorem. We also study the initial trend coefficient more deeply.
www.wydawnictwo.umcs.lublin.pl
2018-12-22 22:03:15
application/pdf
https://journals.umcs.pl/a/article/view/8445
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 2 (2018)
eng
Prawa autorskie (c) 2018 Mariusz Szczepanik
oai:ojs.umcsd.home.net.pl:article/8444
2018-12-22T21:03:15Z
a:ART
"181222 2018 eng "
2083-7402
0365-1029
dc
Products of Toeplitz and Hankel operators on the Bergman space in the polydisk
Sobolewski, Paweł
Maria Curie-Skłodowska University
Toeplitz operator; Bergman space
In this paper we obtain a condition for analytic square integrable functions \(f,g\) which guarantees the boundedness of products of the Toeplitz operators \(T_fT_{\bar g}\) densely defined on the Bergman space in the polydisk. An analogous condition for the products of the Hankel operators \(H_fH^*_g\) is also given.
www.wydawnictwo.umcs.lublin.pl
2018-12-22 22:03:15
application/pdf
https://journals.umcs.pl/a/article/view/8444
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 2 (2018)
eng
Prawa autorskie (c) 2018 Paweł Sobolewski
oai:ojs.umcsd.home.net.pl:article/8442
2018-12-22T21:03:15Z
a:ART
"181222 2018 eng "
2083-7402
0365-1029
dc
On \(\ell_1\)-preduals distant by 1
Piasecki, Łukasz
Maria Curie-Skłodowska University
Banach-Mazur distance; nearly (almost) isometric Banach spaces; \(\ell_1\)-preduals, hyperplanes in c, weak\(^*\) fixed point property; stable weak\(^*\) fixed point property; almost stable weak\(^*\) fixed point property; nonexpansive mappings
For every predual \(X\) of \(\ell_1\) such that the standard basis in \(\ell_1\) is weak\(^*\) convergent, we give explicit models of all Banach spaces \(Y\) for which the Banach-Mazur distance \(d(X,Y)=1\). As a by-product of our considerations, we obtain some new results in metric fixed point theory. First, we show that the space \(\ell_1\), with a predual \(X\) as above, has the stable weak\(^*\) fixed point property if and only if it has almost stable weak\(^*\) fixed point property, i.e. the dual \(Y^*\) of every Banach space \(Y\) has the weak\(^*\) fixed point property (briefly, \(\sigma(Y^*,Y)\)-FPP) whenever \(d(X,Y)=1\). Then, we construct a predual \(X\) of \(\ell_1\) for which \(\ell_1\) lacks the stable \(\sigma(\ell_1,X)\)-FPP but it has almost stable \(\sigma(\ell_1,X)\)-FPP, which in turn is a strictly stronger property than the \(\sigma(\ell_1,X)\)-FPP. Finally, in the general setting of preduals of \(\ell_1\), we give a sufficient condition for almost stable weak\(^*\) fixed point property in \(\ell_1\) and we prove that for a wide class of spaces this condition is also necessary.
www.wydawnictwo.umcs.lublin.pl
2018-12-22 22:03:15
application/pdf
https://journals.umcs.pl/a/article/view/8442
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 2 (2018)
eng
Prawa autorskie (c) 2018 Łukasz Piasecki
oai:ojs.umcsd.home.net.pl:article/8441
2018-12-22T21:03:15Z
a:ART
"181222 2018 eng "
2083-7402
0365-1029
dc
On the existence of connections with a prescribed skew-symmetric Ricci tensor
Kurek, Jan
Maria Curie-Skłodowska University
Mikulski, Włodzimierz
Jagiellonian University
Linear connection; Ricci tensor
We study the so-called inverse problem. Namely, given a prescribed skew-symmetric Ricci tensor we find (locally) a respective linear connection.
www.wydawnictwo.umcs.lublin.pl
2018-12-22 22:03:15
application/pdf
https://journals.umcs.pl/a/article/view/8441
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 2 (2018)
eng
Prawa autorskie (c) 2018 Jan Kurek, Włodzimierz Mikulski
oai:ojs.umcsd.home.net.pl:article/8439
2018-12-22T21:03:15Z
a:ART
"181222 2018 eng "
2083-7402
0365-1029
dc
On the Courant bracket on couples of vector fields and \(p\)-forms
Doupovec, Miroslav
Brno University of Technology
Kurek, Jan
Maria Curie-Skłodowska University
Mikulski, Włodzimierz
Jagiellonian University
Natural operator; vector field; p-form
If \(m\geq p+1\geq 2\) (or \(m=p\geq 3\)), all natural bilinear operators \(A\) transforming pairs of couples of vector fields and \(p\)-forms on \(m\)-manifolds \(M\) into couples of vector fields and \(p\)-forms on \(M\) are described. It is observed that any natural skew-symmetric bilinear operator \(A\) as above coincides with the generalized Courant bracket up to three (two, respectively) real constants.
www.wydawnictwo.umcs.lublin.pl
2018-12-22 22:03:15
application/pdf
https://journals.umcs.pl/a/article/view/8439
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 2 (2018)
eng
Prawa autorskie (c) 2018 Miroslav Doupovec, Jan Kurek, Włodzimierz Mikulski
oai:ojs.umcsd.home.net.pl:article/8437
2018-12-22T21:03:15Z
a:ART
"181222 2018 eng "
2083-7402
0365-1029
dc
On a two-parameter generalization of Jacobsthal numbers and its graph interpretation
Bród, Dorota
Rzeszów University of Technology
Jacobsthal numbers; generalized Jacobsthal numbers; Binet’s formula; generating function; graph interpretation; Merrifield-Simmons index
In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s,p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s identity, the generating function. Moreover, we give a graph interpretation of (s,p)-Jacobsthal numbers, related to independence in graphs.
www.wydawnictwo.umcs.lublin.pl
2018-12-22 22:03:15
application/pdf
https://journals.umcs.pl/a/article/view/8437
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 2 (2018)
eng
Prawa autorskie (c) 2018 Dorota Bród
oai:ojs.umcsd.home.net.pl:article/8434
2018-12-22T21:03:15Z
a:ART
"181222 2018 eng "
2083-7402
0365-1029
dc
The density Turan problem for 3-uniform linear hypertrees. An efficient testing algorithm
Bielak, Halina
Maria Curie-Skłodowska University
Powroźnik, Kamil
Maria Curie-Skłodowska University
Uniform linear hypertree; blow-up hypergraph; transversal; Turan density
Let \(\mathcal{T}=(V,\mathcal{E})\) be a 3-uniform linear hypertree. We consider a blow-up hypergraph \(\mathcal{B}[\mathcal{T}]\). We are interested in the following problem. We have to decide whether there exists a blow-up hypergraph \(\mathcal{B}[\mathcal{T}]\) of the hypertree \(\mathcal{T}\), with hyperedge densities satisfying some conditions, such that the hypertree \(\mathcal{T}\) does not appear in a blow-up hypergraph as a transversal. We present an efficient algorithm to decide whether a given set of hyperedge densities ensures the existence of a 3-uniform linear hypertree \(\mathcal{T}\) in a blow-up hypergraph \(\mathcal{B}[\mathcal{T}]\).
www.wydawnictwo.umcs.lublin.pl
2018-12-22 22:03:15
application/pdf
https://journals.umcs.pl/a/article/view/8434
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 2 (2018)
eng
Prawa autorskie (c) 2018 Halina Bielak, Kamil Powroźnik
oai:ojs.umcsd.home.net.pl:article/8433
2018-12-22T21:03:15Z
a:ART
"181222 2018 eng "
2083-7402
0365-1029
dc
On the necessary condition for Baum-Katz type theorem for non-identically distributed and negatively dependent random fields
Łagodowski, Zbigniew
Lublin University of Technology
Baum-Katz type theorems; complete convergence; negatively dependent random fields; convergence of families indexed by directed sets; metric space
Let \(\{ X_{\bf n}, {\bf n}\in \mathbb{N}^d \}\) be a random field of negatively dependent random variables. The complete convergence results for negatively dependent random fields are refined. To obtain the main theorem several lemmas for convergence of families indexed by \(\mathbb{N}^d\) have been proved. Auxiliary lemmas have wider application to study the random walks on the lattice.
www.wydawnictwo.umcs.lublin.pl
2018-12-22 22:03:15
application/pdf
https://journals.umcs.pl/a/article/view/8433
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 2 (2018)
eng
Prawa autorskie (c) 2018 Zbigniew Łagodowski
oai:ojs.umcsd.home.net.pl:article/7333
2018-12-21T18:21:10Z
a:ART
"180625 2018 eng "
2083-7402
0365-1029
dc
The constructions of general connections on the fibred product of q copies of the first jet prolongation
Plaszczyk, Mariusz
Maria Curie-Sklodowska University
General connection; classical linear connection; first jet prolongation; bundle functor; natural operator
We describe all natural operators \(A\) transforming general connections \(\Gamma\) on fibred manifolds \(Y \rightarrow M\) and torsion-free classical linear connections \(\Lambda\) on \(M\) into general connections \(A(\Gamma,\Lambda)\) on the fibred product \(J^{<q>}Y \rightarrow M\) of \(q\) copies of the first jet prolongation \(J^{1}Y \rightarrow M\).
www.wydawnictwo.umcs.lublin.pl
2018-06-25 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/7333
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 1 (2018)
eng
Prawa autorskie (c) 2018 Mariusz Plaszczyk
oai:ojs.umcsd.home.net.pl:article/7332
2018-12-21T18:21:10Z
a:ART
"180625 2018 eng "
2083-7402
0365-1029
dc
On generalized Mersenne numbers, their interpretations and matrix generators
Ochalik, Paweł
Rzeszów University of Technology
Włoch, Andrzej
Rzeszów University of Technology
Mersenne numbers; Fibonacci numbers; matrix generators
In this paper we introduce generalized Mersenne numbers. We shall present some of their interpretations and matrix generators which are very useful for determining identities.
www.wydawnictwo.umcs.lublin.pl
2018-06-25 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/7332
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 1 (2018)
eng
Prawa autorskie (c) 2018 Paweł Ochalik, Andrzej Włoch
oai:ojs.umcsd.home.net.pl:article/7331
2018-12-21T18:21:10Z
a:ART
"180625 2018 eng "
2083-7402
0365-1029
dc
Some new inequalities of Hermite-Hadamard type for GA-convex functions
Dragomir, Sever S.
Victoria University
Convex functions; integral inequalities; GA-convex functions; Hermite-Hadamard inequalities
Some new inequalities of Hermite-Hadamard type for GA-convex functions defined on positive intervals are given. Refinements and weighted version of known inequalities are provided. Some applications for special means are also obtained.
www.wydawnictwo.umcs.lublin.pl
2018-06-25 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/7331
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 1 (2018)
eng
Prawa autorskie (c) 2018 Sever S. Dragomir
oai:ojs.umcsd.home.net.pl:article/7330
2018-12-21T18:21:10Z
a:ART
"180625 2018 eng "
2083-7402
0365-1029
dc
Invo-regular unital rings
Danchev, Peter V.
Bulgarian Academy of Sciences
Unit-regular rings; clean rings; strongly clean rings; idempotents; involutions; nilpotents; units
It was asked by Nicholson (Comm. Algebra, 1999) whether or not unit-regular rings are themselves strongly clean. Although they are clean as proved by Camillo-Khurana (Comm. Algebra, 2001), recently Nielsen and Ster showed in Trans. Amer. Math. Soc., 2018 that there exists a unit-regular ring which is not strongly clean. However, we define here a proper subclass of rings of the class of unit-regular rings, called invo-regular rings, and establish that they are strongly clean. Interestingly, without any concrete indications a priori, these rings are manifestly even commutative invo-clean as defined by the author in Commun. Korean Math. Soc., 2017.
www.wydawnictwo.umcs.lublin.pl
2018-06-25 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/7330
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 1 (2018)
eng
Prawa autorskie (c) 2018 Peter V. Danchev
oai:ojs.umcsd.home.net.pl:article/7329
2018-12-21T18:21:10Z
a:ART
"180625 2018 eng "
2083-7402
0365-1029
dc
An existence and approximation theorem for solutions of degenerate nonlinear elliptic equations
Cavalheiro, Albo Carlos
State University of Londrina
Degenerate nonlinear elliptic equations; weighted Sobolev spaces
The main result establishes that a weak solution of degenerate nonlinear elliptic equations can be approximated by a sequence of solutions for non-degenerate nonlinear elliptic equations.
www.wydawnictwo.umcs.lublin.pl
2018-06-25 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/7329
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 1 (2018)
eng
Prawa autorskie (c) 2018 Albo Carlos Cavalheiro
oai:ojs.umcsd.home.net.pl:article/7328
2018-12-21T18:21:10Z
a:ART
"180625 2018 eng "
2083-7402
0365-1029
dc
Oscillation of third-order delay difference equations with negative damping term
Bohner, Martin
Missouri University of Science and Technology
Geetha, Srinivasan
Presidency College, Chennai
Selvarangam, Srinivasan
Presidency College, Chennai
Thandapani, Ethiraju
University of Madras
Third-order delay difference equation; comparison theorems; oscillation; asymptotic behavior
The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order delay difference equation. By using comparison theorems, we deduce oscillation of the difference equation from its relation to certain associated first-order delay difference equations or inequalities. Examples are given to illustrate the main results.
www.wydawnictwo.umcs.lublin.pl
2018-06-25 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/7328
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 1 (2018)
eng
Prawa autorskie (c) 2018 Martin Bohner, Srinivasan Geetha, Srinivasan Selvarangam, Ethiraju Thandapani
oai:ojs.umcsd.home.net.pl:article/7327
2018-12-21T18:21:10Z
a:ART
"180625 2018 eng "
2083-7402
0365-1029
dc
On almost polynomial structures from classical linear connections
Bednarska, Anna
Maria Curie-Sklodowska University
Classical linear connection; almost polynomial structure; Weil bundle; natural operator
Let \(\mathcal{M}f_m\) be the category of \(m\)-dimensional manifolds and local diffeomorphisms and let \(T\) be the tangent functor on \(\mathcal{M}f_m\). Let \(\mathcal{V}\) be the category of real vector spaces and linear maps and let \(\mathcal{V}_m\) be the category of \(m\)-dimensional real vector spaces and linear isomorphisms. Let \(w\) be a polynomial in one variable with real coefficients. We describe all regular covariant functors \(F\colon \mathcal{V}_m\to\mathcal{V}\) admitting \(\mathcal{M}f_m\)-natural operators \(\tilde{P}\) transforming classical linear connections \(\nabla\) on \(m\)-dimensional manifolds \(M\) into almost polynomial \(w\)-structures \(\tilde{P}(\nabla)\) on \(F(T)M=\bigcup_{x\in M}F(T_xM)\).
www.wydawnictwo.umcs.lublin.pl
2018-06-25 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/7327
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 1 (2018)
eng
Prawa autorskie (c) 2018 Anna Bednarska
oai:ojs.umcsd.home.net.pl:article/7326
2018-12-21T18:22:10Z
a:ART
"180625 2018 eng "
2083-7402
0365-1029
dc
Spectral analysis of singular Sturm-Liouville operators on time scales
Allahverdiev, Bilender P.
Suleyman Demirel University
Tuna, Huseyin
Mehmet Akif Ersoy University
Sturm-Liouville operator; time scales; splitting method; discrete spectrum; continuous spectrum
In this paper, we consider properties of the spectrum of a Sturm-Liouville
operator on time scales. We will prove that the regular symmetric
Sturm-Liouville operator is semi-bounded from below. We will also give some
conditions for the self-adjoint operator associated with the singular
Sturm-Liouville expression to have a discrete spectrum. Finally, we will
investigate the continuous spectrum of this operator.
www.wydawnictwo.umcs.lublin.pl
2018-06-25 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/7326
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 72, No 1 (2018)
eng
Prawa autorskie (c) 2018 Bilender P. Allahverdiev, Huseyin Tuna
oai:ojs.umcsd.home.net.pl:article/6243
2018-01-10T10:07:51Z
a:ART
"171218 2017 eng "
2083-7402
0365-1029
dc
On branchwise commutative pseudo-BCH algebras
Walendziak, Andrzej
Siedlce University of Natural Sciences and Humanities
(Pseudo-)BCK/BCI/BCH-algebra; atom; branch; branchwise commutativity
Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is proved that every branchwise commutative pseudo-BCH algebra is a pseudo-BCI algebra.
www.wydawnictwo.umcs.lublin.pl
2017-12-18 20:31:35
application/pdf
https://journals.umcs.pl/a/article/view/6243
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 2 (2017)
eng
Prawa autorskie (c) 2017 Andrzej Walendziak
oai:ojs.umcsd.home.net.pl:article/6242
2018-01-10T10:07:51Z
a:ART
"171218 2017 eng "
2083-7402
0365-1029
dc
Properties of modulus of monotonicity and Opial property in direct sums
Markowicz, Joanna
M. Curie-Sklodowska University
University of Life Sciences in Lublin
Prus, Stanisław
M. Curie-Skłodowska University
Banach lattice; modulus of monotonicity; direct sum; non-strict Opial property; Opial property
We give an example of a Banach lattice with a non-convex modulus of monotonicity, which disproves a claim made in the literature. Results on preservation of the non-strict Opial property and Opial property under passing to general direct sums of Banach spaces are established.
www.wydawnictwo.umcs.lublin.pl
2017-12-18 20:31:35
application/pdf
https://journals.umcs.pl/a/article/view/6242
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 2 (2017)
eng
Prawa autorskie (c) 2017 Joanna Markowicz, Stanisław Prus
oai:ojs.umcsd.home.net.pl:article/6241
2018-01-10T10:07:51Z
a:ART
"171218 2017 eng "
2083-7402
0365-1029
dc
A survey of a selection of methods for determination of Koebe sets
Gregorczyk, Magdalena
Lublin University of Technology
Koczan, Leopold
Lublin University of Technology
Koebe domains; covering domains
In this article we take over methods for determination of Koebe set based on extremal sets for a given class of functions.
www.wydawnictwo.umcs.lublin.pl
2017-12-18 20:31:35
application/pdf
https://journals.umcs.pl/a/article/view/6241
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 2 (2017)
eng
Prawa autorskie (c) 2017 Magdalena Gregorczyk, Leopold Koczan
oai:ojs.umcsd.home.net.pl:article/6240
2018-01-10T10:07:51Z
a:ART
"171218 2017 eng "
2083-7402
0365-1029
dc
The generalized Day norm. Part II. Applications
Budzyńska, Monika
M. Curie-Sklodowska University
Grzesik, Aleksandra
Rzeszów University of Technology
Kot, Mariola
Rzeszów University of Technology
Diametrically complete set; Day norm, fixed point; Kadec-Klee property; LUR space; nonexpansive mapping; non-strict Opial property; 1-unconditional Schauder bases
In this paper we prove that for each \(1< p, \tilde{p} < \infty\), the Banach space \((l^{\tilde{p}}, \left\|\cdot\right\|_{\tilde{p}})\) can be equivalently renormed in such a way that the Banach space \((l^{\tilde{p}},\left\|\cdot\right\|_{L,\alpha,\beta,p,\tilde{p}})\) is LUR and has a diametrically complete set with empty interior. This result extends the Maluta theorem about existence of such a set in \(l^2\) with the Day norm. We also show that the Banach space \((l^{\tilde{p}},\left\|\cdot\right\|_{L,\alpha,\beta,p,\tilde{p}})\) has the weak fixed point property for nonexpansive mappings.
www.wydawnictwo.umcs.lublin.pl
2017-12-18 20:31:35
application/pdf
https://journals.umcs.pl/a/article/view/6240
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 2 (2017)
eng
Prawa autorskie (c) 2017 Monika Budzyńska, Aleksandra Grzesik, Mariola Kot
oai:ojs.umcsd.home.net.pl:article/6239
2018-06-27T11:57:00Z
a:ART
"171218 2017 eng "
2083-7402
0365-1029
dc
The generalized Day norm. Part I. Properties
Budzyńska, Monika
M. Curie-Sklodowska University
Grzesik, Aleksandra
Rzeszów University of Technology
Kot, Mariola
Rzeszów University of Technology
Asymptotic normal structure; Day norm; local uniform convexity; normal structure; Opial property; strict convexity; uniform convexity in every direction
In this paper we introduce a modification of the Day norm in \(c_0(\Gamma)\) and investigate properties of this norm.
www.wydawnictwo.umcs.lublin.pl
2017-12-18 20:31:35
application/pdf
https://journals.umcs.pl/a/article/view/6239
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 2 (2017)
eng
Prawa autorskie (c) 2017 Monika Budzyńska, Aleksandra Grzesik, Mariola Kot
oai:ojs.umcsd.home.net.pl:article/6238
2018-01-10T10:07:51Z
a:ART
"171218 2017 eng "
2083-7402
0365-1029
dc
Eccentric distance sum index for some classes of connected graphs
Bielak, Halina
M. Curie-Sklodowska University
Broniszewska, Katarzyna
M. Curie-Sklodowska University
Adjacent eccentric distance sum; diameter; distance; eccentricity; radius; Wiener index
In this paper we show some properties of the eccentric distance sum index which is defined as follows \(\xi^{d}(G)=\sum_{v \in V(G)}D(v) \varepsilon(v)\). This index is widely used by chemists and biologists in their researches. We present a lower bound of this index for a new class of graphs.
www.wydawnictwo.umcs.lublin.pl
2017-12-18 20:31:35
application/pdf
https://journals.umcs.pl/a/article/view/6238
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 2 (2017)
eng
Prawa autorskie (c) 2017 Halina Bielak, Katarzyna Broniszewska
oai:ojs.umcsd.home.net.pl:article/6237
2018-01-10T10:07:51Z
a:ART
"171218 2017 eng "
2083-7402
0365-1029
dc
Note about sequences of extrema \((A,2B)\)-edge coloured trees
Bednarz, Urszula
Rzeszów University of Technology
Włoch, Iwona
Rzeszów University of Technology
Edge colouring; trees; Fibonacci numbers; telephone numbers
In this paper we determine successive extremal trees with respect to the number of all \((A,2B)\)-edge colourings.
www.wydawnictwo.umcs.lublin.pl
2017-12-18 20:31:35
application/pdf
https://journals.umcs.pl/a/article/view/6237
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 2 (2017)
eng
Prawa autorskie (c) 2017 Urszula Bednarz, Iwona Włoch
oai:ojs.umcsd.home.net.pl:article/6236
2018-01-10T10:07:51Z
a:ART
"171218 2017 eng "
2083-7402
0365-1029
dc
Periodic solutions of Euler-Lagrange equations with sublinear potentials in an Orlicz-Sobolev space setting
Acinas, Sonia
Universidad Nacional de La Pampa
Mazzone, Fernando
Universidad Nacional de Rio Cuarto
Periodic solution; Orlicz-Sobolev spaces; Euler-Lagrange; \(N\)-function; critical points
In this paper, we obtain existence results of periodic solutions of hamiltonian systems in the Orlicz-Sobolev space \(W^1L^\Phi([0,T])\). We employ the direct method of calculus of variations and we consider a potential function \(F\) satisfying the inequality \(|\nabla F(t,x)|\leq b_1(t) \Phi_0'(|x|)+b_2(t)\), with \(b_1, b_2\in L^1\) and certain \(N\)-functions \(\Phi_0\).
www.wydawnictwo.umcs.lublin.pl
2017-12-18 20:31:35
application/pdf
https://journals.umcs.pl/a/article/view/6236
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 2 (2017)
eng
Prawa autorskie (c) 2017 Sonia Acinas, Fernando Mazzone
oai:ojs.umcsd.home.net.pl:article/5639
2017-08-11T08:20:04Z
a:ART
"170630 2017 eng "
2083-7402
0365-1029
dc
The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem
Mortini, Raymond
Universite de Lorraine
Boundary behaviour of analytic functions; trigonometric series
Using Baire's theorem, we give a very simple proof of a special version of the Lusin-Privalov theorem and deduce via Abel's theorem the Riemann-Cantor theorem on the uniqueness of the coefficients of pointwise convergent unilateral trigonometric series.
www.wydawnictwo.umcs.lublin.pl
2017-06-30 17:33:57
application/pdf
https://journals.umcs.pl/a/article/view/5639
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 1 (2017)
eng
Prawa autorskie (c) 2017 Raymond Mortini
oai:ojs.umcsd.home.net.pl:article/5638
2017-08-11T08:20:04Z
a:ART
"170630 2017 eng "
2083-7402
0365-1029
dc
Convolution conditions for bounded \(\alpha\)-starlike functions of complex order
Lashin, A. Y.
Mansoura University
Univalent functions; bounded starlike functions of complex order; bounded convex functions of complex order; \(\alpha\)-starlike functions
Let \(A\) be the class of analytic functions in the unit disc \(U\) of the complex plane \(\mathbb{C}\) with the normalization \(f(0)=f^{^{\prime }}(0)-1=0\). We introduce a subclass \(S_{M}^{\ast }(\alpha ,b)\) of \(A\), which unifies the classes of bounded starlike and convex functions of complex order. Making use of Salagean operator, a more general class \(S_{M}^{\ast }(n,\alpha ,b)\) (\(n\geq 0\)) related to \(S_{M}^{\ast }(\alpha ,b)\) is also considered under the same conditions. Among other things, we find convolution conditions for a function \(f\in A\) to belong to the class \(S_{M}^{\ast }(\alpha ,b)\). Several properties of the class \(S_{M}^{\ast }(n,\alpha ,b)\) are investigated.
www.wydawnictwo.umcs.lublin.pl
2017-06-30 17:33:57
application/pdf
https://journals.umcs.pl/a/article/view/5638
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 1 (2017)
eng
Prawa autorskie (c) 2017 A. Y. Lashin
oai:ojs.umcsd.home.net.pl:article/5637
2017-08-11T08:20:04Z
a:ART
"170630 2017 eng "
2083-7402
0365-1029
dc
The natural operators of general affine connections into general affine connections
Kurek, Jan
M. Curie-Sklodowska University
Mikulski, Włodzimierz M.
Jagiellonian University
General affine connection; natural operator
We reduce the problem of describing all \(\mathcal{M} f_m\)-natural operators transforming general affine connections on \(m\)-manifolds into general affine ones to the known description of all \(GL(\mathbf{R}^m)\)-invariant maps \(\mathbf{R}^{m*}\otimes \mathbf{R}^m\to \otimes^k\mathbf{R}^{m*}\otimes\otimes ^k\mathbf{R}^m\) for \(k=1,3\).
www.wydawnictwo.umcs.lublin.pl
2017-06-30 17:33:57
application/pdf
https://journals.umcs.pl/a/article/view/5637
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 1 (2017)
eng
Prawa autorskie (c) 2017 Jan Kurek, Włodzimierz M. Mikulski
oai:ojs.umcsd.home.net.pl:article/5636
2017-08-11T08:20:04Z
a:ART
"170630 2017 eng "
2083-7402
0365-1029
dc
A spatial individual-based contact model with age structure
Jasińska, Dominika
M. Curie-Sklodowska University
Correlation function; contact model; birth and death model; configuration space; spatial individual-based model; Markov evolution; age structure
The Markov dynamics of an infinite continuum birth-and-death system of point particles with age is studied. Each particle is characterized by its location \(x\in \mathbb{R}^d\) and age \(a_x\geq 0\). The birth and death rates of a particle are age dependent. The states of the system are described in terms of probability measures on the corresponding configuration space. The exact solution of the evolution equation for the correlation functions of first and second orders is found.
www.wydawnictwo.umcs.lublin.pl
2017-06-30 17:33:57
application/pdf
https://journals.umcs.pl/a/article/view/5636
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 1 (2017)
eng
Prawa autorskie (c) 2017 Dominika Jasińska
oai:ojs.umcsd.home.net.pl:article/5635
2017-08-11T08:20:04Z
a:ART
"170630 2017 eng "
2083-7402
0365-1029
dc
On almost complex structures from classical linear connections
Kurek, Jan
M. Curie-Sklodowska University
Mikulski, Włodzimierz M.
Jagiellonian University
Classical linear connection; almost complex structure; Weil bundle; natural operator
Let \(\mathcal{M} f_m\) be the category of \(m\)-dimensional manifolds and local diffeomorphisms and let \(T\) be the tangent functor on \(\mathcal{M} f_m\). Let \(\mathcal{V}\) be the category of real vector spaces and linear maps and let \(\mathcal{V}_m\) be the category of \(m\)-dimensional real vector spaces and linear isomorphisms. We characterize all regular covariant functors \(F:\mathcal{V}_m\to\mathcal{V}\) admitting \(\mathcal{M} f_m\)-natural operators \(\tilde J\) transforming classical linear connections \(\nabla\) on \(m\)-dimensional manifolds \(M\) into almost complex structures \(\tilde J(\nabla)\) on \(F(T)M=\bigcup_{x\in M}F(T_xM)\).
www.wydawnictwo.umcs.lublin.pl
2017-06-30 17:33:57
application/pdf
https://journals.umcs.pl/a/article/view/5635
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 1 (2017)
eng
Prawa autorskie (c) 2017 Jan Kurek, Włodzimierz M. Mikulski
oai:ojs.umcsd.home.net.pl:article/5634
2017-08-11T08:20:04Z
a:ART
"170630 2017 eng "
2083-7402
0365-1029
dc
An empirical almost sure central limit theorem under the weak dependence assumptions and its application to copula processes
Dudziński, Marcin
Warsaw University of Life Sciences
Almost sure central limit theorem; weak dependence; empirical processes; copulas
Let: \(\mathbf{Y=}\left( \mathbf{Y}_{i}\right)\), where \(\mathbf{Y}_{i}=\left( Y_{i,1},...,Y_{i,d}\right)\), \(i=1,2,\dots \), be a \(d\)-dimensional, identically distributed, stationary, centered process with uniform marginals and a joint cdf \(F\), and \(F_{n}\left( \mathbf{x}\right) :=\frac{1}{n}\sum_{i=1}^{n}\mathbb{I}\left(Y_{i,1}\leq x_{1},\dots ,Y_{i,d}\leq x_{d}\right)\) denote the corresponding empirical cdf. In our work, we prove the almost sure central limit theorem for an empirical process \(B_{n}=\sqrt{n}\left( F_{n}-F\right)\) under some weak dependence conditions due to Doukhan and Louhichi. Some application of the established result to copula processes is also presented.
www.wydawnictwo.umcs.lublin.pl
2017-06-30 17:33:57
application/pdf
https://journals.umcs.pl/a/article/view/5634
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 1 (2017)
eng
Prawa autorskie (c) 2017 Marcin Dudziński
oai:ojs.umcsd.home.net.pl:article/5631
2017-08-11T08:20:04Z
a:ART
"170630 2017 eng "
2083-7402
0365-1029
dc
Entire functions of exponential type not vanishing in the half-plane \(\Im z > k\), where \(k > 0\)
Hachani, Mohamed Amine
Universite de Montreal
Inequalities; entire functions of exponential type; polynomial; trigonometric polynomial
Let \(P (z)\) be a polynomial of degree \(n\) having no zeros in \(|z| < k\), \(k \leq 1\), and let \(Q (z) := z^n \overline{P (1/{\overline {z}})}\). It was shown by Govil that if \(\max_{|z| = 1} |P^\prime (z)|\) and \(\max_{|z| = 1} |Q^\prime (z)|\) are attained at the same point of the unit circle \(|z| = 1\), then \[\max_{|z| = 1} |P'(z)| \leq \frac{n}{1 + k^n} \max_{|z| = 1} |P(z)|.\]
The main result of the present article is a generalization of Govil's polynomial inequality to a class of entire functions of exponential type.
www.wydawnictwo.umcs.lublin.pl
2017-06-30 17:33:57
application/pdf
https://journals.umcs.pl/a/article/view/5631
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 1 (2017)
eng
Prawa autorskie (c) 2017 Mohamed Amine Hachani
oai:ojs.umcsd.home.net.pl:article/5629
2017-08-11T08:20:04Z
a:ART
"170630 2017 eng "
2083-7402
0365-1029
dc
Some properties for \(\alpha\)-starlike functions with respect to \(k\)-symmetric points of complex order
Darwish, H. E.
Mansoura University
Lashin, A. Y.
Mansoura University
Sowileh, S. M.
Mansoura University
Analytic functions; starlike functions of complex order; convex functions of complex order; \(\alpha\)-starlike; \(k\)-symmetric points; subordination
In the present work, we introduce the subclass \(\mathcal{T}_{\gamma ,\alpha
}^{k}(\varphi )\), of starlike functions with respect to \(k\)-symmetric points of complex order \(\gamma\) (\(\gamma \neq 0\)) in the open unit disc \(\vartriangle\). Some interesting subordination criteria, inclusion relations and the integral representation for functions belonging to this class are provided. The results obtained generalize some known results, and some other new results are obtained.
www.wydawnictwo.umcs.lublin.pl
2017-06-30 17:33:57
application/pdf
https://journals.umcs.pl/a/article/view/5629
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 71, No 1 (2017)
eng
Prawa autorskie (c) 2017 H. E. Darwish, A. Y. Lashin, S. M. Sowileh
oai:ojs.umcsd.home.net.pl:article/4519
2017-01-10T10:26:42Z
a:ART
"161224 2016 eng "
2083-7402
0365-1029
dc
On compactness and connectedness of the paratingent
Zygmunt, Wojciech
The John Paul II Catholic University of Lublin
In this note we shall prove that for a continuous function \(\varphi : \Delta\to\mathbb{R}^n\), where \(\Delta\subset\mathbb{R}\), the paratingent of \(\varphi\) at \(a\in\Delta\) is a non-empty and compact set in \(\mathbb{R}^n\) if and only if \(\varphi\) satisfies Lipschitz condition in a neighbourhood of \(a\). Moreover, in this case the paratingent is a connected set.
www.wydawnictwo.umcs.lublin.pl
2016-12-24 22:42:03
application/pdf
https://journals.umcs.pl/a/article/view/4519
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 70, No 2 (2016)
eng
Prawa autorskie (c) 2016 Wojciech Zygmunt
oai:ojs.umcsd.home.net.pl:article/4518
2017-01-10T10:26:42Z
a:ART
"161224 2016 eng "
2083-7402
0365-1029
dc
Connections from trivializations
Kurek, Jan
M. Curie-Sklodowska University
Mikulski, Włodzimierz
Jagiellonian University
Gauge natural bundle; gauge natural operator; principal connection
Let P be a principal fiber bundle with the basis M and with the structural group G. A trivialization of P is a section of P. It is proved that there exists only one gauge natural operator transforming trivializations of P into principal connections in P. All gauge natural operators transforming trivializations of P and torsion free classical linear connections on M into classical linear connections on P are completely described.
www.wydawnictwo.umcs.lublin.pl
2016-12-24 22:42:03
application/pdf
https://journals.umcs.pl/a/article/view/4518
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 70, No 2 (2016)
eng
Prawa autorskie (c) 2016 Jan Kurek, Włodzimierz Mikulski
oai:ojs.umcsd.home.net.pl:article/4517
2017-01-10T10:26:42Z
a:ART
"161224 2016 eng "
2083-7402
0365-1029
dc
The degree of approximation by Hausdorff means of a conjugate Fourier series
Kęska, Sergiusz
Siedlce University of Natural Sciences and Humanities
Hausdorff matrix; conjugate series of the Fourier series; degree of approximation
The purpose of this paper is to analyze the degree of approximation of a function \(\overline f\) that is a conjugate of a function \(f\) belonging to the Lipschitz class by Hausdorff means of a conjugate series of the Fourier series.
www.wydawnictwo.umcs.lublin.pl
2016-12-24 22:42:03
application/pdf
https://journals.umcs.pl/a/article/view/4517
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 70, No 2 (2016)
eng
Prawa autorskie (c) 2016 Sergiusz Kęska
oai:ojs.umcsd.home.net.pl:article/4516
2017-01-10T10:26:42Z
a:ART
"161224 2016 eng "
2083-7402
0365-1029
dc
Asymmetric truncated Toeplitz operators equal to the zero operator
Jurasik, Joanna
M. Curie-Sklodowska University
Łanucha, Bartosz
M. Curie-Sklodowska University
Model spaces; truncated Toeplitz operators; asymmetric truncated Toeplitz operators
Asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These operators are natural generalizations of truncated Toeplitz operators. In this paper we describe symbols of asymmetric truncated Toeplitz operators equal to the zero operator.
www.wydawnictwo.umcs.lublin.pl
2016-12-24 22:42:03
application/pdf
https://journals.umcs.pl/a/article/view/4516
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 70, No 2 (2016)
eng
Prawa autorskie (c) 2016 Joanna Jurasik, Bartosz Łanucha
oai:ojs.umcsd.home.net.pl:article/4515
2017-01-10T10:26:42Z
a:ART
"161224 2016 eng "
2083-7402
0365-1029
dc
Jensen and Ostrowski type inequalities for general Lebesgue integral with applications
Dragomir, Sever
Victoria University http://rgmia.org/dragomir
Ostrowski’s inequality; Jensen’s inequality; f-divergence measures
Some inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for f-divergence measure are provided as well.
www.wydawnictwo.umcs.lublin.pl
2016-12-24 22:42:03
application/pdf
https://journals.umcs.pl/a/article/view/4515
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 70, No 2 (2016)
eng
Prawa autorskie (c) 2016 Sever Dragomir
oai:ojs.umcsd.home.net.pl:article/4514
2017-01-10T10:26:42Z
a:ART
"161224 2016 eng "
2083-7402
0365-1029
dc
Existence and uniqueness of solutions for a class of degenerate nonlinear elliptic equations
Cavalheiro, Albo Carlos
State University of Londrina
Degenerate nonlinear elliptic equations; weighted Sobolev spaces
In this work we are interested in the existence and uniqueness of solutions for the Navier problem associated to the degenerate nonlinear elliptic equations \begin{align} {\Delta}(v(x)\, {\vert{\Delta}u\vert}^{p-2}{\Delta}u) &-\sum_{j=1}^n D_j{\bigl[}{\omega}_1(x) \mathcal{A}_j(x, u, {\nabla}u){\bigr]}+ b(x,u,{\nabla}u)\, {\omega}_2(x)\\ & = f_0(x) - \sum_{j=1}^nD_jf_j(x), \ \ {\rm in } \ \ {\Omega} \end{align} in the setting of the weighted Sobolev spaces.
www.wydawnictwo.umcs.lublin.pl
2016-12-24 22:42:03
application/pdf
https://journals.umcs.pl/a/article/view/4514
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 70, No 2 (2016)
eng
Prawa autorskie (c) 2016 Albo Carlos Cavalheiro
oai:ojs.umcsd.home.net.pl:article/4513
2017-01-10T10:26:42Z
a:ART
"161224 2016 eng "
2083-7402
0365-1029
dc
On (2-d)-kernels in the cartesian product of graphs
Bednarz, Paweł
Rzeszów University of Technology
Włoch, Iwona
Rzeszów University of Technology
Independence; domination; cartesian product; (2-d)-kernel
In this paper we study the problem of the existence of (2-d)-kernels in the cartesian product of graphs. We give sufficient conditions for the existence of (2-d)-kernels in the cartesian product and also we consider the number of (2-d)-kernels.
www.wydawnictwo.umcs.lublin.pl
2016-12-24 22:42:03
application/pdf
https://journals.umcs.pl/a/article/view/4513
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 70, No 2 (2016)
eng
Prawa autorskie (c) 2016 Paweł Bednarz, Iwona Włoch
oai:ojs.umcsd.home.net.pl:article/3998
2019-12-27T19:51:44Z
a:ART
"160729 2016 eng "
2083-7402
0365-1029
dc
Periodic solutions for second-order Hamiltonian systems with a p-Laplacian
Zhang, Xingyong
Central South University
Tang, Xianhua
Central South University
Second-order Hamiltonian systems; p-Laplacian; periodic solution; Sobolev’s inequality; Wirtinger’s inequality; the least action principle
In this paper, by using the least action principle, Sobolev’s inequality and Wirtinger’s inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
www.wydawnictwo.umcs.lublin.pl
2016-07-29 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/3998
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 64, No 1 (2010)
eng
Prawa autorskie (c) 2010 Xingyong Zhang, Xianhua Tang
oai:ojs.umcsd.home.net.pl:article/3997
2019-12-27T19:51:44Z
a:ART
"160729 2016 eng "
2083-7402
0365-1029
dc
On the order of starlikeness and convexity of complex harmonic functions with a two-parameter coefficient condition
Sibelska, Agnieszka
University of Łódź
Complex harmonic functions; analytic conditions; convexity of order \(\beta\); starlikeness of order \(\beta\)
The article of J. Clunie and T. Sheil-Small [3], published in 1984, intensified the investigations of complex functions harmonic in the unit disc \(\Delta\). In particular, many papers about some classes of complex mappings with the coefficient conditions have been published. Consideration of this type was undertaken in the period 1998–2004 by Y. Avci and E. Złotkiewicz [2], A. Ganczar [5], Z. J. Jakubowski, G. Adamczyk, A. Łazinska and A. Sibelska [1], [8], [7], H. Silverman [12] and J. M. Jahangiri [6], among others. This work continues the investigations described in [7]. Our results relate primarily to the order of starlikeness and convexity of functions of the aforementioned
classes.
www.wydawnictwo.umcs.lublin.pl
2016-07-29 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/3997
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 64, No 1 (2010)
eng
Prawa autorskie (c) 2010 Agnieszka Sibelska
oai:ojs.umcsd.home.net.pl:article/3996
2019-12-27T19:51:44Z
a:ART
"160729 2016 eng "
2083-7402
0365-1029
dc
Subclasses of typically real functions determined by some modular inequalities
Koczan, Leopold
Lublin University of Technology
Trąbka-Więcław, Katarzyna
Lublin University of Technology
Typically real functions; majorization; subordination
Let \(\mathrm{T}\) be the family of all typically real functions, i.e. functions that are analytic in the unit disk \(\Delta := \{ z \in \mathbb{C} : |z|<1 \}\), normalized by \(f(0)=f'(0)-1=0\) and such that Im \(z\) Im \(f(z)\) \(\geq 0\) for \(z \in \Delta\). Moreover, let us denote: \(\mathrm{T}^{(2)}:= \{f \in \mathrm{T}: f(z)=-f(-z) \text{ for } z \in \Delta \}\) and \(\mathrm{T}^{M,g} := \{ f \in \mathrm{T}: f \prec Mg \text{ in } \Delta \}\), where \(M>1\), \(g \in \mathrm{T} \cap \mathrm{S}\) and \(\mathrm{S}\) consists of all analytic functions, normalized and univalent in \(\Delta\).
We investigate classes in which the subordination is replaced with the majorization and the function \(g\) is typically real but does not necessarily univalent, i.e. classes \(\{ f \in \mathrm{T}: f \ll Mg \text{ in } \Delta \}\), where \(M>1\), \(g \in \mathrm{T}\), which we denote by \(\mathrm{T}_{M,g}\). Furthermore, we broaden the class \(\mathrm{T}_{M,g}\) for the case \(M \in (0,1)\) in the following way:
\(\mathrm{T}_{M,g} = \left\{ f \in \mathrm{T} : |f(z)| \geq M |g(z)| \text{ for } z \in \Delta \right\}\), \(g \in \mathrm{T}\).
www.wydawnictwo.umcs.lublin.pl
2016-07-29 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/3996
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 64, No 1 (2010)
eng
Prawa autorskie (c) 2010 Leopold Koczan, Katarzyna Trąbka-Więcław
oai:ojs.umcsd.home.net.pl:article/3995
2019-12-27T19:51:44Z
a:ART
"160729 2016 eng "
2083-7402
0365-1029
dc
Harmonic mappings in the exterior of the unit disk
Gregorczyk, Magdalena
M. Curie-Sklodowska University
Widomski, Jarosław
M. Curie-Sklodowska University
Harmonic mapping; meromorphic; quasiconformal extension; radius of convexity; radius of univalence
In this paper we consider a class of univalent orientation-preserving harmonic functions defined on the exterior of the unit disk which satisfy the condition
\(\sum_{n=1}^{\infty}n^{p}(|a_{n}|+|b_{n}|)\leq 1\). We are interested in finding radius of univalence and convexity for such class and we find extremal functions. Convolution, convex combination, and explicit quasiconformal extension for this class are also determined.
www.wydawnictwo.umcs.lublin.pl
2016-07-29 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/3995
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 64, No 1 (2010)
eng
Prawa autorskie (c) 2010 Magdalena Gregorczyk, Jarosław Widomski
oai:ojs.umcsd.home.net.pl:article/3993
2019-12-27T19:51:44Z
a:ART
"160729 2016 eng "
2083-7402
0365-1029
dc
Horizontal lift of symmetric connections to the bundle of volume forms \(\mathcal{V}\)
Gasior, Anna
M. Curie-Sklodowska University
Horizontal lift; \(\pi\)-conjugate connection; Killing field; infinitesimal transformation; \(F(3, 1)\)-structure; FK, FAK, FNK, FQK, FH-structure
In this paper we present the horizontal lift of a symmetric affine connection with respect to another affine connection to the bundle of volume forms \(\mathcal{V}\) and give formulas for its curvature tensor, Ricci tensor and the scalar curvature. Next, we give some properties of the horizontally lifted vector fields and certain infinitesimal transformations. At the end, we consider some substructures of a \(F(3, 1)\)-structure on \(\mathcal{V}\).
www.wydawnictwo.umcs.lublin.pl
2016-07-29 00:00:00
application/pdf
https://journals.umcs.pl/a/article/view/3993
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica; Vol 64, No 1 (2010)
eng
Prawa autorskie (c) 2010 Anna Gasior
82806a5344e1355e780416d45eedc274