GENERALIZED n-POLYNOMIAL P- FUNCTIONS WITH SOME RELATED INEQUALITIES AND THEIR APPLICATIONS

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dc.contributor.authorOzcan, Serap
dc.contributor.authorKadakal, Mahir
dc.contributor.authorIscan, Imdat
dc.contributor.authorKadakal, Huriye
dc.date.accessioned2026-02-28T12:18:21Z
dc.date.available2026-02-28T12:18:21Z
dc.date.issued2024
dc.departmentBayburt Üniversitesi
dc.description.abstractIn 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.
dc.identifier.doi10.46939/J.Sci.Arts-24.4-a07
dc.identifier.endpage854
dc.identifier.issn1844-9581
dc.identifier.issn2068-3049
dc.identifier.issue4
dc.identifier.startpage843
dc.identifier.urihttps://doi.org/10.46939/J.Sci.Arts-24.4-a07
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6208
dc.identifier.wosWOS:001386506200007
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherEditura Bibliotheca-Bibliotheca Publ House
dc.relation.ispartofJournal of Science And Arts
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260218
dc.subjectConvex function
dc.subjectn-polynomial harmonically convexity
dc.subjectgeneralized n-polynomial harmonically convexity
dc.subjectHermite-Hadamard inequality
dc.subjectintegral inequalities
dc.titleGENERALIZED n-POLYNOMIAL P- FUNCTIONS WITH SOME RELATED INEQUALITIES AND THEIR APPLICATIONS
dc.typeArticle

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