Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates

Abstract

Abstract The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator containing extended Mittag-Leffler function via monotone function, for convex functions we generalize well known fractional Hadamard and Fejér–Hadamard inequalities. Also we study the error bounds of these generalized Hadamard and Fejér–Hadamard inequalities. We also obtain some published results from presented inequalities.

Keywords

• Convex functions
• Hadamard inequality
• Generalized fractional integrals
• Mittag-Leffler function