Butt, S., IShaokat, ShNapoles Valdes, J. E.2024-10-172024-10-172021-01-011994-9197https://doi.org/10.35634/vm210405https://hdl.handle.net/11452/46649The article introduces a new concept of convexity of a function: (s, m(1), m(2)) convex functions. This class of functions combines a number of convexity types found in the literature. Some properties of (s, m(1), m(2))-convexities are established and simple examples of functions belonging to this class are given. On the basis of the proved identity, new integral inequalities of the Hadamard type are obtained in terms of the fractional integral operator. It is shown that these results give us, in particular, generalizations of a number of results available in the literature.eninfo:eu-repo/semantics/closedAccessIntegral-inequalitiesM)-convexConvex functionHadamard type inequalityRiemann-liouville fractional integralHolder inequalityPower mean inequalityScience & technologyPhysical sciencesMathematicsArticle00073812570000559761231410.35634/vm210405