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oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/141152026-10-29T19:43:53Zopenairedrivercom_bayburt_10000col_bayburt_10001com_bayburt_10007col_bayburt_10227col_bayburt_10218

GENERALIZED n-POLYNOMIAL P- FUNCTIONS WITH SOME RELATED INEQUALITIES AND THEIR APPLICATIONSOzcan, SerapKadakal, MahirIscan, ImdatKadakal, HuriyeConvex functionn-polynomial harmonically convexitygeneralized n-polynomial harmonically convexityHermite-Hadamard inequalityintegral inequalitiesIn this paper, we introduce the notion of generalized n-polynomial Pfunction. We explore some algebraic properties of this function class. Additionally, we establish a new trapezium type inequality for this generalized class of functions and derive several refinements of the trapezium type inequality for functions whose first derivative in absolute value at a certain power is generalized n-polynomial P-function. Finally, we conclude our paper by exploring some applications of the results we have obtained in the context of special means. Our novel findings generalize previously known results in the literature.EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE2024Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/14115https://doi.org/10.46939/j.sci.arts-24.4-a071844-9581enJOURNAL OF SCIENCE AND ARTSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/14115