University of Jiroft | hasan barsam

Research

Title	On new refinement of the Jensen inequality using uniformly convex functions with applications
Type	Article
Keywords	Jensen’s inequality; means; csiszár divergence; global bounds; Shannon entropy; uniformly convex function
Researchers	Yamin Sayyari, hasan barsam, alireza sattarzadeh

Abstract

One of the fundamental inequalities which is used in many inequities is Jensen inequality. In fact, it is a base of some inequality such as the arithmetic mean, harmonic mean inequality also in inequality with respect to entropies and information theory. The purpose of this research paper is to give a new interesting refinement of Jensen inequality for two particular finite sequences by using uniformly convex function. Also, we give some applications of this in information theory.