New refinements of the jensen-mercer inequality associated to positive n-tuples

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.2. © 2020, Republic of Armenia National Academy of Sciences. All rights reserved.

Authors
Adil Khan M. , Pečarić J. 2
Publisher
Republic of Armenia National Academy of Sciences
Number of issue
4
Language
English
Pages
1-12
Status
Published
Volume
12
Year
2020
Organizations
  • 1 Department of Mathematics, University of Peshawar, Peshawar, 25000, Pakistan
  • 2 RUDN University, Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
Convex functions; Jensen-Mercer inequality; Means
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