Kadakal, Mahir2024-10-042024-10-0420222147-6268https://search.trdizin.gov.tr/tr/yayin/detay/1186884http://hdl.handle.net/20.500.12403/4085In this manuscript, we introduce and study the concept of $\\left( m_{1},m_{2}\\right) $-geometric arithmetically (GA) convex functions and their some algebric properties. In addition, we obtain Hermite-Hadamard type inequalities for the newly introduced this type of functions whose derivatives in absolute value are the class of $\\left( m_{1},m_{2}\\right) $ -GA-convex functions by using both well-known power mean and Hölder's integral inequalities.eninfo:eu-repo/semantics/openAccessConvex functionm-convex function(m1;m2)-GA convex functionHermite-Hadamard inequalityArticle10263711186884