Armenian Journal of Mathematics, 12(4)
2022; 1–12
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New refinements of the Jensen-Mercer inequality associated to positive n -tuples

Received: 2024-12-10 · Published: 2022-08-30

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Original title
New refinements of the Jensen-Mercer inequality associated to positive n -tuples
Authors
Muhammad Adil Khan, Josip Pečarić
Source journal
Armenian Journal of Mathematics, 12(4)
Published
2022-08-30
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2020.12.4-1-12

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 mm finite sequences.
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