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

Authors

Muhammad Adil Khan University of Peshawar
Josip PeÄariÄ‡ 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

Versions

2022-08-30 (2)
2020-06-20 (1)

Issue

Vol. 12 No. 4 (2020): New refinements of the Jensen-Mercer inequality associated to positive $n$-tuples

Section

Articles

License

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

How to Cite

[1]

M. Adil Khan and J. PeÄariÄ‡, “New refinements of the Jensen-Mercer inequality associated to positive $n$-tuples”, Armen.J.Math., vol. 12, no. 4, pp. 1–12, Jun. 2020, Accessed: Dec. 28, 2024. [Online]. Available: https://armjmath.sci.am/index.php/ajm/article/view/359