University of Jiroft | hasan barsam

Research

Title	SOME INEQUALITIES RELATED TO HARMONICALLY CONVEXITY WITH APPLICATIONS IN TSALLIS ENTROPY AND MEANS
Type	Article
Keywords	Entropy, Tsallis entropy, Hermite–Hadamard inequality, harmonically convex, Jensen inequality and special means
Researchers	Yamin Sayyari, SHIGERU FURUICHI, hasan barsam

Abstract

Abstract. In this paper, we give some new inequalities related to harmonically convex functions. In fact, we introduce a certain function F including a harmonically convex function and using Jensen and Jensen-Mercer inequalities to obtain some new inequalities. Finally, we give some application for these inequalities in information theory, Tsallis entropy, mean theory and approximation theory