New Refinement of Jensen-Mercer’s Operator Inequality and Applications to Means

Authors

  • Khuram Ali Khan Department of Mathematics, University of Sargodha, Pakistan.
  • Muhammad Adil Khan Department of Mathematics, University of Peshawer, Pakistan.
  • Uzma Sadaf Department of Mathematics, University of Sargodha, Pakistan.

Keywords:

Operator convex functions, Mixed symmetric means, Power mean inequality, Jensen-Mercer’s inequality

Abstract

In this paper we give the refinement of Jensen-Mercer’s and power mean inequalities for operators. We launch the corresponding mixed symmetric means for strictly positive operators defined on Hilbert space and also establish the refinement of inequalities of power means for these operators.

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Published

2017-08-31

Issue

Vol. 49 No. 2 (2017)

Section

Articles

License

Copyright (c) 2017 Khuram Ali Khan, Muhammad Adil Khan, Uzma Sadaf

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

New Refinement of Jensen-Mercer’s Operator Inequality and Applications to Means. (2017). Punjab University Journal of Mathematics, 49(2), 119-143. https://pujm.pu.edu.pk/index.php/pujm/article/view/100

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