New Hadamard Type Inequalities for Modified <i>h</i>-Convex Functions

Abstract

In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for modified h-convex functions. We showed several inequalities for the products of two modified h-convex functions. New identities related to inequalities in various forms are also established for different values of the h(φt) function. We believe that the approach presented in this paper will inspire more research in this area.

Keywords

• Hermite–Hadamard inequality
• Fejér inequality
• modified <i>h</i>-convex functions
• super-additive functions