University of Jiroft | hasan barsam

Research

Title	A Generalization of GA-convex Functions and Applications
Type	Article
Keywords	Geometrically mean · GA-convex function · Jensen’s inequality
Researchers	hasan barsam, Yamin Sayyari

Abstract

In this paper, firstly we introduced -geometric mean and a new class of convex functions called -GA-convex functions. After that, we established some new inequalities involving Hermite-Hadamard type inequality and Jensen-Mercer type inequality, for -GA-convex functions. Finally, we give some applications of the obtained results.