Simpson-Type Inequalities for Conformable Fractional Operators Concerning Twice-Differentiable Functions

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dc.authorwosidHezenci, Fatih/KFB-5970-2024en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorHezenci, F.
dc.contributor.authorBudak, H.
dc.date.accessioned2024-08-23T16:03:40Z
dc.date.available2024-08-23T16:03:40Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe authors of the paper propose a new method of investigation of an an equality for the case of twice-differentiable convex functions with respect to the conformable fractional integrals. With the help of this equality, we establish several Simpson-type inequalities for twice-differentiable convex functions by using conformable fractional integrals. Sundry significant inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. By using the specific selection of our results, we give several new and well-known results in the literature.en_US
dc.identifier.doi10.30495/JME.2023.2589
dc.identifier.issn1735-8299
dc.identifier.issue3en_US
dc.identifier.urihttps://doi.org/10.30495/JME.2023.2589
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13858
dc.identifier.volume17en_US
dc.identifier.wosWOS:001125662900004en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherIslamic Azad Univ, Shiraz Branchen_US
dc.relation.ispartofJournal of Mathematical Extensionen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSimpson-type inequalityen_US
dc.subjectfractional conformable integralsen_US
dc.subjectfractional conformable derivativesen_US
dc.subjectfractional calculusen_US
dc.subjectconvex functionen_US
dc.titleSimpson-Type Inequalities for Conformable Fractional Operators Concerning Twice-Differentiable Functionsen_US
dc.typeArticleen_US

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