New Approaches for M-Convex Functions Via Fractional Integral Operators With Strong Kernels

Abstract

We have established this paper on m-convex functions, which can be expressed as a general form of the convex function concept. First of all, some inequalities of Hadamard type are proved with fairly simple conditions. Next, an integral identity containing Atangana-Baleanu fractional integral operators is obtained to prove new inequalities for differentiable m -convex functions. Using this identity, various properties of m-convex functions and classical inequalities, some new integral inequalities have been proved.