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New refinements of the Jensen-Mercer inequality associated to positive $n$-tuples

Authors

  • Muhammad Adil Khan University of Peshawar
  • Josip Pečarić RUDN University, Miklukho-Maklaya str. 6, 117198 Moscow, Russia

DOI:

https://doi.org/10.52737/18291163-2020.12.4-1-12

Keywords:

Convex functions, Jensen-Mercer inequality, means

Abstract

In this manuscript, we propose new refinements for the Jensen-Mercer as well as variant of the Jensen-Mercer inequalities associated to certain positive tuples. We give some related integral version and present applications for different means. At the end, further generalizations are given which are associated to $m$ finite sequences.

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Published

2020-06-20

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How to Cite

New refinements of the Jensen-Mercer inequality associated to positive $n$-tuples. (2020). Armenian Journal of Mathematics, 12(4), 1-12. https://armjmath.sci.am/index.php/ajm/article/view/359