A Fractional Version of Corrected Dual-Simpson's Type Inequality via s-convex Function with Applications

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dc.contributor.authorMunir, A.
dc.contributor.authorQayyum, A.
dc.contributor.authorBudak, H.
dc.contributor.authorQaisar, S.
dc.contributor.authorAli, U.
dc.contributor.authorSupadi, S. S.
dc.date.accessioned2025-10-11T20:47:38Z
dc.date.available2025-10-11T20:47:38Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractConvexity plays a crucial role in mathematical analysis, offering profound insights into the behavior of functions and geometric shapes. Fractional integral operators generalize the classical concept of integration to non-integer orders. In this paper, we establish a new identity by using the Caputo-Fabrizio fractional integral operator. Then by using this new identity, we obtain the corrected dual Simpson's type inequalities for s-convex functions. By employing the wellknown integral inequalities such as the H & ouml;lder's inequality and power-mean inequality, we obtain new error estimates. Furthermore, we discuss the applications to some special means and quadrature formula.en_US
dc.identifier.doi10.47836/mjms.19.1.02
dc.identifier.endpage33en_US
dc.identifier.issn1823-8343
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105014113695en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage17en_US
dc.identifier.urihttps://doi.org/10.47836/mjms.19.1.02
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21491
dc.identifier.volume19en_US
dc.identifier.wosWOS:001471423300002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Putra Malaysia Pressen_US
dc.relation.ispartofMalaysian Journal of Mathematical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectcorrected dual-Simpson's type inequalityen_US
dc.subjects- convex functionen_US
dc.subjectfractional integralsen_US
dc.subjectH & ouml;lder's inequalityen_US
dc.subjectpower-mean inequality.en_US
dc.titleA Fractional Version of Corrected Dual-Simpson's Type Inequality via s-convex Function with Applicationsen_US
dc.typeArticleen_US

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