Fractional Integral Inequalities of Hermite–Hadamard Type for (<i>h</i>,<i>g</i>;<i>m</i>)-Convex Functions with Extended Mittag-Leffler Function

Abstract

Several fractional integral inequalities of the Hermite–Hadamard type are presented for the class of (h,g;m)-convex functions. Applied fractional integral operators contain extended generalized Mittag-Leffler functions as their kernel, thus enabling new fractional integral inequalities that extend and generalize the known results. As an application, the upper bounds of fractional integral operators for (h,g;m)-convex functions are given.

Keywords

• fractional calculus
• Mittag-Leffler function
• convex function
• Hermite–Hadamard inequality