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oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/128152026-10-29T19:42:49Zopenairedrivercom_bayburt_10000col_bayburt_10001

Some new Simpson type integral inequalities for (s, P)-functionsKadakal, M.İşcan, İ.Kadakal, H.(s,P)-functionHermite-Hadamard inequalityHölder-İşcan inequalitySimpson type inequalityIn this paper, we establish some new Simpson type inequalities for functions, whose first deriva-tive in absolute value is (s, P)-function by using Hölder, power-mean and Hölder-İşcan inequalities. After that, we compare the results obtained with both Hölder, Hölder-İşcan integral inequalities and prove that the Hölder-İşcan integral inequality gives a better approximation, than the Hölder inequality. Also, some applications to special means of real numbers are also given.Precarpathian National University2025Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/12815https://doi.org/10.15330/cmp.17.1.331-3422075-9827enCarpathian Mathematical Publicationsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/12815