Ardic, Merve AvciOnalan, Havva KavurmaciAkdemir, Ahmet OcakNguyen, Anh Tuan2025-05-102025-05-1020231787-24051787-241310.18514/MMN.2023.41042-s2.0-85178086680https://doi.org/10.18514/MMN.2023.4104https://hdl.handle.net/20.500.14720/965We 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.eninfo:eu-repo/semantics/openAccessM-Convex FunctionsAtangana-Baleanu Integral OperatorsNormalization FunctionEuler Gamma FunctionArticle243Q2Q311451160WOS:001143700900026