Merve Avci Ardıç, Havva Kavurmacı Önalan, Ahmet Ocak Akdemir, Anh Tuan Nguyen
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New approaches for m-convex functions via fractional integral operators with strong kernels
. 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.
期刊介绍:
Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.