摘要：In this manuscript, firstly we introduce and study the concept of (??, ??1, ??2)-Geometric- Arithmetically (GA) convex functions and some algebraic properties of such type functions. Then, we obtain Hermite-Hadamard type integral inequalities for the newly introduced class of functions by using an identity together with Hölder integral inequality, power-mean integral inequality and Hölder-İşcan integral inequality giving a better approach than Hölder integral inequality. Inequalities have been obtained with the help of Gamma function. In addition, results were obtained according to the special cases of ??, ??1 and ??2.
关键词：(??;??1;??2)-GA convex function;Hölder integral inequality;power-mean inequality;Hölder-İşcan inequality;Hermite-Hadamard integral inequality
