Inequalities for h-log-convex functions

Abstract

We first define a $h$-$\text{log}$-convex function and so, we investigate some integral inequalities for $h$-$\text{log}$-convex functions that involve the classical Hermite–Hadamard inequality. In the end, by using notations of Mond–Pečarić method in operator inequalities, we extend some inequalities for operator $h$-$\text{log}$-convex functions.