On Certain Inequalities for Several Kinds of Strongly Convex Functions for <em>q</em>-<em>h</em>-Integrals

Abstract

This article investigates inequalities for certain types of strongly convex functions by applying q-h-integrals. These inequalities provide the refinements of some well-known results that hold for (α,m)- and (ℏ-m)-convex and related functions. Inequalities for q-integrals are deducible by vanishing the parameter h. Some particular cases are discussed after proving the main results.

Keywords

• <i>q</i>-derivative/integral
• <i>q</i>-<i>h</i>-derivative/integral
• convex function
• strongly convex function
• Hermite–Hadamard inequality