Kadakal, Mahir2026-09-012026-09-0120222147-6268https://doi.org/10.36753/mathenot.685624https://hdl.handle.net/20.500.12403/8371In this manuscript, we introduce and study the concept of (m1, m2)-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 (m1, m2)-GA-convex functions by using both well-known power mean and Hölder’s integral inequalities. © MSAEN.eninfo:eu-repo/semantics/closedAccess(M<Sub>1</Sub>, M<Sub>2</Sub>)-Ga Convex FunctionConvex FunctionHermite-Hadamard InequalityM-Convex FunctionArticle102637110.36753/mathenot.6856242-s2.0-85204967982Q3