Hermite-Hadamard type inequalities for p-convex functions via fractional integrals

Abstract

In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms. We give some Hermite-Hadamard type inequalities for convex, harmonically convex and p-convex functions. Some results presented in this paper for p-convex functions, provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.

Keywords

• hermite-hadamard inequalities,fractional integral
• convex functions
• harmonically convex functions
• p-convex functions