Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals

Abstract

The well-known Hermite-Hadamard inequality for convex functions is extensively studied for different kinds of integrals and derivatives. This paper investigates some of its variants for $ q-h $-integrals using properties of convex functions. Inequalities for $ q $-integrals that have been published in recent years can be extracted from the main results of this paper.

Keywords

• hermite-hadamard inequality
• convex function
• $ q-h $-integral
• $ q-h $-derivative
• $ q $-integral