New refinement of the Jensen inequality associated to certain functions with applications

Journal of inequalities and applications

article

Muhammad Adil Khan¹  Ðilda Pečarić²  Josip Pečarić³ 

[1] Department of Mathematics, University of Peshawar;Catholic University of Croatia;RUDN University

关键词: Jensen’s inequality;    Convex functions;    Hölder inequality;    Means;    Csiszár divergence;    Shannon entropy;   

DOI  :  10.1186/s13660-020-02343-7

学科分类：电力

来源: SpringerOpen

【 摘 要 】

This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory. A more general refinement of Jensen inequality is presented associated to n functions.

【 授权许可】

CC BY