Additive inequalities for weighted harmonic and arithmetic operator means

Sever Dragomir

Abstract


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.

Keywords


Young’s inequality; convex functions; arithmetic meanharmonic mean inequality; operator means; operator inequalities

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References


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DOI: http://dx.doi.org/10.17951/a.2019.73.1.1-17
Data publikacji: 2019-12-19 10:33:44
Data złożenia artykułu: 2019-12-17 09:28:02


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