Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications

Abstract

Abstract In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in second sense. The present investigation is an extension of several well known results.

Keywords

• Hermite–Hadamard inequalities
• Convex functions
• Exponentially convex functions
• Exponentially p-convex functions
• Exponentially s-convex functions in the second sense