University of Jiroft | hasan barsam

Research

Title	Inequalities related to uniformly convex functions with applications to joint entropy and p-logarithmic means
Type	Article
Keywords	Convex function · Strongly convex function · Uniformly convex function · Jensen inequality · Joint entropy · p-logarithmic mean
Researchers	Yamin Sayyari, slavica bradanovich, hasan barsam

Abstract

In this paper, using important properties of uniformly convex functions, we prove several types of fundamental inequalities as Jensen, its modification Jensen-Mercer, conversion of Jensen inequality and the Hermite-Hadamard inequality for uniformly convex functions. As applications of the main results we obtain new bounds for the joint entropy as well as new estimates of the bounds involving p-logarithmic means and their particular cases.