Kadakal, Huriye2021-11-092021-11-092019-08-01https://doi.org/10.31801/cfsuasmas.511184http://hdl.handle.net/20.500.12575/75950In this paper, we introduce a new class of extended (alpha;m1;m2)-convex functions. Some algebraic properties of these class functions have been investigated. Some new Hermite-Hadamard type inequalities are derived. Results represent signicant refinement and improvement of the previous results. Also, the author establish a new integral identity and, by this identity, Hölder's and power mean inequality, discover some new Hermite-Hadamard type inequalities for functions whose first derivatives are (alpha;m1;m2)-convex. Our results are new and coincide with the previous results in special cases.enConvex functionm-Convex function(alpha;m)-Convex functionArticle682212821482618-6470