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

Authors

  • Muhammad Adil Khan University of Peshawar
  • Josip Pečarić RUDN University

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.

Downloads

Published

2020-06-20 — Updated on 2022-08-30

Versions

Issue

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

Section

Articles

License

Copyright (c) 2020 Armenian Journal of Mathematics

Creative Commons License

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

How to Cite

New refinements of the Jensen-Mercer inequality associated to positive $n$-tuples. (2022). Armenian Journal of Mathematics, 12(4), 1-12. https://doi.org/10.52737/18291163-2020.12.4-1-12 (Original work published 2020)