Hermite–Hadamard–Fejér type inequalities for p-convex functions

Abstract

In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained. Finally, some Hermite–Hadamard and Hermite–Hadamard–Fejér inequalities for convex, harmonically convex and p-convex functions are given. Some results presented here for p-convex functions provide extensions of others given in earlier works for convex and harmonically convex and p-convex functions.

Keywords

• Hermite–Hadamard inequalities
• Hermite–Hadamard–Fejér inequalities
• Convex functions
• Harmonically convex functions
• p-Convex functions