Some inequalities for maximum modulus of rational functions
Abstract
Keywords
Full Text:
PDFReferences
Ankeny, N. C., Rivlin, T. J., On a theorem of S. Bernstein, Pacific J. Math. 5 (1955), 849–852.
Aziz, A., Dawood, Q. M., Inequalities for a polynomial and its derivatives, J. Approx. Theory 54 (1998), 306–313.
Bernstein, S., Sur l’ordre de la meilleure approximation des functions continues par des polynomes de degre donne, Mem. Acad. R. Belg. 4 (1912), 1–103.
Govil, N. K., Mohapatra, R. N., Inequalities for maximum modulus of rational functions with prescribed poles, in: Approximation Theory, Dekker, New York, 1998, 255–263.
Lax, P. D., Proof of a conjecture of P. Erdos on the derivative of a polynomial, Bull. Amer. Math. Soc. 50 (1944), 509–513.
Xin Li, A comparison inequality for rational functions, Proc. Amer. Math. Soc. 139 (2011), 1659–1665.
Xin Li, Mohapatra, R. N., Rodriguez, R. S., Bernstein-type inequalities for rational functions with prescribed poles, J. London Math. Soc. 51 (1995), 523–531.
DOI: http://dx.doi.org/10.17951/a.2019.73.1.33-39
Data publikacji: 2019-12-19 10:33:46
Data złożenia artykułu: 2019-12-17 09:57:34
Statistics
Indicators
Refbacks
- There are currently no refbacks.
Copyright (c) 2019 Abdullah Mir