On Generalization of Trapezoid Type Inequalities for s-Convex Functions with Generalized Fractional Integral Operators

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dc.contributor.authorUsta, Fuat
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.contributor.authorSet, Erhan
dc.date.accessioned2020-04-30T23:19:54Z
dc.date.available2020-04-30T23:19:54Z
dc.date.issued2018
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionSET, ERHAN/0000-0003-1364-5396en_US
dc.descriptionWOS: 000461179400013en_US
dc.description.abstractBy using contemporary theory of inequalities, this study is devoted to propose a number of refinements inequalities for the Hermite Hadamard's type inequality and conclude explicit bounds for the trapezoid inequalities in terms of s-convex mappings, at most second derivative through the instrument of generalized fractional integral operator and a considerable amount of results for special means. The results of this study which are the generalization of those given in earlier works are obtained for functions f where vertical bar f'vertical bar and vertical bar f ''vertical bar (or vertical bar f'vertical bar(q) and vertical bar f ''vertical bar(q) for q >= 1) are s-convex hold by applying the Holder inequality and the power mean inequality.en_US
dc.identifier.doi10.2298/FIL1806153Uen_US
dc.identifier.endpage2171en_US
dc.identifier.issn0354-5180
dc.identifier.issue6en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage2153en_US
dc.identifier.urihttps://doi.org/10.2298/FIL1806153U
dc.identifier.urihttps://hdl.handle.net/20.500.12684/3882
dc.identifier.volume32en_US
dc.identifier.wosWOS:000461179400013en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjecttrapezoid inequalityen_US
dc.subjectfractional integral operatorsen_US
dc.subjects-convex functionen_US
dc.titleOn Generalization of Trapezoid Type Inequalities for s-Convex Functions with Generalized Fractional Integral Operatorsen_US
dc.typeArticleen_US

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