Some Generalizations of Jensen's Inequality

Slavko Simic; Bandar Almohsen

doi:10.37256/cm.212021686

Some Generalizations of Jensen's Inequality

Authors

Slavko Simic Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
Bandar Almohsen College of Science, Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.212021686

Keywords:

Jensen's inequality, Jensen-Mercer inequality, twice differentiable functions, convex functions

Abstract

In this article, we give some improvements and generalizations of the famous Jensen's and Jensen-Mercer inequalities for twice differentiable functions, where convexity property of the target function is not assumed in advance. They represent a refinement of these inequalities in the case of convex/concave functions with numerous applications in Theory of Means and Probability and Statistics.

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Published

2020-12-26

How to Cite

Slavko Simic, Bandar Almohsen. Some Generalizations of Jensen’s Inequality. Contemp. Math. [Internet]. 2020 Dec. 26 [cited 2024 Apr. 26];2(1):1-14. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/686

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Issue

Contemporary Mathematics, Volume 2 Issue 1 (2021), 1-102

Section

Research Article