General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function

Abstract

Abstract In this paper some new general fractional integral inequalities for convex and m-convex functions by involving an extended Mittag-Leffler function are presented. These results produce inequalities for several kinds of fractional integral operators. Some interesting special cases of our main results are also pointed out.

Keywords

• Convex function
• m-convex function
• Mittag-Leffler function
• Generalized fractional integral operators
• Hadamard inequality