Parameterized Inequalities of Different Types for Preinvex Functions with Respect to another Function via Generalized Fractional Integral Operators and their Applications

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dc.contributor.authorKashuri, Artion
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2023-07-26T11:58:54Z
dc.date.available2023-07-26T11:58:54Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe prove an identity with two parameters for a function differentiable with respect to another function via generalized integral operator. By applying the established identity, we discover the generalized trapezium, midpoint, and Simpson-type integral inequalities. It is indicated that the results of the present research provide integral inequalities for almost all fractional integrals discovered in recent decades. Various special cases are identified. Some applications of the presented results to special means and new error estimates for the trapezium and midpoint quadrature formulas are analyzed. The ideas and techniques of the present paper may stimulate further research in the field of integral inequalities.en_US
dc.identifier.doi10.1007/s11253-022-02000-w
dc.identifier.endpage1397en_US
dc.identifier.issn0041-5995
dc.identifier.issn1573-9376
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85147185064en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1371en_US
dc.identifier.urihttps://doi.org/10.1007/s11253-022-02000-w
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13595
dc.identifier.volume73en_US
dc.identifier.wosWOS:000794849600005en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorSarıkaya, Mehmet Zeki
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofUkrainian Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectHermite-Hadamard Type; Convex-Functionsen_US
dc.titleParameterized Inequalities of Different Types for Preinvex Functions with Respect to another Function via Generalized Fractional Integral Operators and their Applicationsen_US
dc.typeArticleen_US

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