University of Jiroft | hasan barsam

Research

Title	JENSEN’S INEQUALITY AND tgs-CONVEX FUNCTIONS WITH APPLICATIONS
Type	Article
Keywords	Jensen’s inequality, tgs-convex function, Global bounds
Researchers	hasan barsam, Yamin Sayyari, somayeh Mirzadeh

Abstract

In recent years, many researches have been done on the tgsconvex functions and their applications. In this article, we present some properties of the tgs-convex functions by interesting examples. Then we investigate the non-positive property of the tgs-convex functions. Also, we derive types of the Jensen’s inequality for the tgs-convex functions and obtain several inequalities with respect to the Jensen’s inequality. Finally, we give some applications of these inequalities.