A note on fractional Simpson-like type inequalities for functions whose third derivatives are convex

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dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2023-07-26T11:57:55Z
dc.date.available2023-07-26T11:57:55Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, equality is established for Riemann-Liouville fractional integral. With the aid of this equality, it is proved some fractional Simpson-like type inequalities for functions whose third 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. Furthermore, the mathematical example is presented to verify the newly established inequality.en_US
dc.identifier.doi10.2298/FIL2312715H
dc.identifier.endpage3724en_US
dc.identifier.issn0354-5180
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85150416902en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage3715en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2312715H
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13347
dc.identifier.volume37en_US
dc.identifier.wosWOS:000946001000001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.institutionauthorHezenci, Fatih
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/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectSimpson Type Inequalities; Convex Function; Fractional Integrals; Third Derivativeen_US
dc.subjectIntegral-Inequalitiesen_US
dc.titleA note on fractional Simpson-like type inequalities for functions whose third derivatives are convexen_US
dc.typeArticleen_US

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