Kadakal, MahirKadakal, HuriyeIscan, Imdat2024-10-042024-10-0420230354-5180https://doi.org/10.2298/FIL2321017Khttp://hdl.handle.net/20.500.12403/3677In this manuscript, the authors introduce the concept of the semi P-geometric-arithmetically functions (semi P-GA functions) and give their some algebraic properties. Then, they get Hermite-Hadamard's integral inequalities for semi P-GA-functions (geometric-arithmetically convex). In addition, the authors obtain new inequalities by using Holder and Holder-Iscan integral inequalities with the help of an identity. Then, the aouthors compare the results obtained with both Holder, Holder-Iscan integral inequalities and prove that the Holder-Iscan integral inequality gives a better approximation than the Holder integral inequality. Also, some applications to special means of real numbers are also given.eninfo:eu-repo/semantics/openAccessSubject ClassificationConvex functionsemi P-functionsemi P-GA functionHermite-Hadamard canSemi P-geometric-arithmetically functions and some new related inequalitiesArticle37217017702810.2298/FIL2321017K2-s2.0-85158990908Q3WOS:000970184900001Q2