A Refinement of the Jensen-Simic-Mercer Inequality with Applications to Entropy

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2022, v.29 no.1, pp.51-57

https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.51

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

Sayyari, Yamin. (2022). A REFINEMENT OF THE JENSEN-SIMIC-MERCER INEQUALITY WITH APPLICATIONS TO ENTROPY. 한국수학교육학회지시리즈B:순수및응용수학, 29(1), 51-57, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.51

복사

Abstract

The Jensen, Simic and Mercer inequalities are very important inequalities in theory of inequalities and some results are devoted to this inequalities. In this paper, firstly, we establish extension of Jensen-Simic-Mercer inequality. After that, we investigate bounds for Shannons entropy of a probability distribution. Finally, We give some new applications in analysis.

keywords: Shannon's entropy, Jensen's inequality, Simic's inequality, Mercer's inequality, convex function

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Vol.29 No.1

A REFINEMENT OF THE JENSEN-SIMIC-MERCER INEQUALITY WITH APPLICATIONS TO ENTROPY

A Refinement of the Jensen-Simic-Mercer Inequality with Applications to Entropy

Abstract

한국수학교육학회지시리즈B:순수및응용수학