New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals

Abstract

Abstract The Hermite–Hadamard–Fejér-type inequality is an effective utensil for examining upper and lower estimations of the integrals of convex functions. In this study, the power mean inequality and Hölder inequality are employed. The outcomes are new Hermite–Hadamard–Fejér-type inequalities via Raina fractional integrals for m-convex functions. The findings are extensions of many previous investigations.

Keywords

• Hermite–Hadamard–Fejér-type inequality
• Convex function
• Raina fractional integrals