Fractional inequalities of corrected Euler-Maclaurin-type for twice-differentiable functions

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dc.authoridHEZENCI, fatih/0000-0003-1008-5856
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2023-07-26T11:50:03Z
dc.date.available2023-07-26T11:50:03Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, an identity is proved for the case of twice-differentiable functions whose second derivatives in absolute value are convex. With the help of this equality, several corrected Euler-Maclaurin-type inequalities are established using the Riemann-Liouville fractional integrals. Several important fractional inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. Furthermore, the results are presented using special cases of obtained theories.en_US
dc.identifier.doi10.1007/s40314-023-02235-8
dc.identifier.issn2238-3603
dc.identifier.issn1807-0302
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85148767442en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s40314-023-02235-8
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12218
dc.identifier.volume42en_US
dc.identifier.wosWOS:000937093100001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorHezenci, Fatih
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofComputational & Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectQuadrature Formulae; Maclaurin's Formula; Convex Functions; Fractional Calculusen_US
dc.titleFractional inequalities of corrected Euler-Maclaurin-type for twice-differentiable functionsen_US
dc.typeArticleen_US

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