Refinement of the classical Jensen inequality using finite sequences

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Hacettepe Journal of Mathematics and Statistics
Volume:53 Issue:3
Refinement of the classical Jensen inequality using finite sequences

Refinement of the classical Jensen inequality using finite sequences

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

Pages : 608-627

Doi:10.15672/hujms.1270585

View : 185 | Download : 320

Publication Date : 2024-06-27

Article Type : Research Paper

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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