바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

Article Contents

Prev Next
e-Submission

Vol.29 No.1

Citation Share

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Sayyari,, Y. (2022). A Refinement of the Jensen-Simic-Mercer Inequality with Applications to Entropy. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 29(1), 51-57, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.51

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

e-Submission OA Policy