On some Hadamard-type inequalities for h-convex functions

Abstract

Abstract. In this paper, some inequalities Hadamard-type for h -convex functions are given. We also proved some Hadamard-type inequalities for products of two h -convex functions.Mathematics subject classification (2000): 26D07, 26D15.

Hermite-Hadamard type inequalities for product of GA-convex functions via Hadamard fractional integrals

“…proved several Hermite-Hadamard type inequalities for products of two convex and s-convex functions. In [19] [3] he extended this problem to m-convex and (α, m)-convex functions.…”

On Generalizations of the Hadamard Inequality for (α, m)-Convex Functions

“…For many papers connected with m−convex and (α, m) −convex functions see ( [2], [3], [6], [11], [12], [13], [14], [19]) and the references therein. There are similar inequalities for s−convex and h−convex functions in [7] and [16], respectively.…”

Inequalities of Hermite-Hadamard Type for Composite <em>h</em>-Convex Functions

“…[0; 1) is an h-convex function on an interval I of real numbers with h 2 L [0; 1] and f 2 L [a; b] with a; b 2 I; a < b; then we have the Hermite-Hadamard type inequality obtained by Sarikaya et al in [66] …”