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

[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.

[学科分类] 电力

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