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http://dx.doi.org/10.5831/HMJ.2022.44.4.513

AN EXTENSION OF JENSEN-MERCER INEQUALITY WITH APPLICATIONS TO ENTROPY

Yamin, Sayyari (Department of Mathematics, Sirjan University Of Technology)

Publication Information

Honam Mathematical Journal / v.44, no.4, 2022 , pp. 513-520 More about this Journal

Abstract

The Jensen and Mercer inequalities are very important inequalities in information theory. The article provides the generalization of Mercer's inequality for convex functions on the line segments. This result contains Mercer's inequality as a particular case. Also, we investigate bounds for Shannon's entropy and give some new applications in zeta function and analysis.

Keywords

Shannon's entropy; Zeta function; Jensen's inequality; Mercer's inequality; convex function;

Citations & Related Records

Reference

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