Refinement of the classical Jensen inequality using finite sequences

Year 2024, Volume: 53 Issue: 3, 608 - 627, 27.06.2024

Zaid Mohammed Mohammed Mahdi Sayed , Muhammad Adil Khan , Shahid Khan , Josip Pecaric

https://doi.org/10.15672/hujms.1270585

Abstract

This article is dedicated to a refinement of the classical Jensen inequality by virtue of some finite real sequences. Inequalities for various means are obtained from this refinement. Also, from the proposed refinement, the authors acquire some inequalities for Csiszâr $\Psi$- divergence and for Shannon and Zipf-Mandelbrot entropies. The refinement is further generalized through several finite real sequences.

Keywords

Jensen inequality, means, information theory

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