Hermite-Hadamard and Jensen’s type inequalities for modified (<em>p, h</em>)-convex functions

Abstract

In this study, we will derive the conception of modified (p, h)-convex functions which will unify p-convexity with modified h-convexity. We will investigate the fundamental properties of modified (p, h)-convexity. Furthermore, we will derive the Hermite-Hadamard, Fejér and Jensen’s type inequalities for this generalization.

Keywords

• <i>p</i>-convex function
• modified <i>h</i>-convex function
• hermite-hadamard inequality
• fejér type inequalities
• jensen’s type inequalities