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.