%0 Journal Article
%T (m1,m2)-Convexity and Some New Hermite-Hadamard Type Inequalities
%J International Journal of Mathematical Modelling & Computations
%I Islamic Azad University, Central tehran Branch
%Z 2228-6225
%A Kadakal, Huriye
%D 2019
%\ 12/01/2019
%V 9
%N 4 (Fall)
%P 297-309
%! (m1,m2)-Convexity and Some New Hermite-Hadamard Type Inequalities
%K (m1,m2)-Convex function
%K Hölder and Hölder-İşcan integral inequalities
%K power-mean and improwed power-mean integral inequalities
%K Hermite-Hadamard inequality
%R
%X In this manuscript, a new class of extended (m1,m2)-convex and concave functions is introduced. After some properties of (m1,m2)-convex functions have been given, the inequalities obtained with Hölder and Hölder-İşcan and power-mean and improwed power-mean integral inequalities have been compared and it has been shown that the inequality with Hölder-İşcan inequality gives a better approach than with Hölder integral inequality and improwed power-mean inequality gives a better approach than with power-mean inequality.
%U http://ijm2c.iauctb.ac.ir/article_671813_2d060fd248c741ff154200304c87f715.pdf