A Note on Fractional Simpson Type Inequalities for Twice Differentiable Functions

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dc.authorscopusid55577228500en_US
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2024-08-23T16:04:01Z
dc.date.available2024-08-23T16:04:01Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, an equality is proved for twice differentiable convex functions involving Riemann-Liouville fractional integral. With the help of this equality, there are established several fractional Simpson type inequalities for functions whose second derivatives in absolute value are convex. By using special cases of the main results, previously obtained Simpson type inequalities are found for the Riemann-Liouville fractional integral.en_US
dc.identifier.doi10.1515/ms-2023-0049
dc.identifier.endpage686en_US
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85162754679en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage675en_US
dc.identifier.urihttps://doi.org/10.1515/ms-2023-0049
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14011
dc.identifier.volume73en_US
dc.identifier.wosWOS:001183215400009en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorHezenci, Fatihen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofMathematica Slovacaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSimpson type inequalitiesen_US
dc.subjectconvex functionen_US
dc.subjectfractional integralsen_US
dc.subjecttwice differentiable functionen_US
dc.subjectIntegral-Inequalitiesen_US
dc.subjectConvex-Functionsen_US
dc.titleA Note on Fractional Simpson Type Inequalities for Twice Differentiable Functionsen_US
dc.typeArticleen_US

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