Kadakal, M.Scan, I.Kadakal, H.2026-02-282026-02-2820252075-98272313-0210https://doi.org/10.15330/cmp.17.1.331-342https://hdl.handle.net/20.500.12403/6120In this paper, we establish some new Simpson type inequalities for functions, whose first derivative in absolute value is (s, P)-function by using Holder, power-mean and Holder-I-center dot,scan inequalities. After that, we compare the results obtained with both Holder, Holder-I-center dot,scan integral inequalities and prove that the Holder-I-center dot,scan integral inequality gives a better approximation, than the Holder inequality. Also, some applications to special means of real numbers are also given.eninfo:eu-repo/semantics/openAccess(s,P)-functionSimpson type inequalityHermite-Hadamard inequalityHolder-Iscan inequalityArticle17133134210.15330/cmp.17.1.331-3422-s2.0-105010962819Q1WOS:001528907500022Q2