Fractional midpoint-type inequalities for twice-differentiable functions

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dc.authorscopusid55577228500en_US
dc.authorscopusid7006400381en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidHezenci, Fatih/KFB-5970-2024en_US
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBohner, Martin
dc.contributor.authorBudaka, Huseyin
dc.date.accessioned2024-08-23T16:03:48Z
dc.date.available2024-08-23T16:03:48Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this research article, we obtain an identity for twice differentiable functions whose second derivatives in absolute value are convex. By using this identity, we prove several left Hermite-Hadamard-type inequalities for the case of Riemann-Liouville fractional integrals. Furthermore, we provide our results by using special cases of obtained theorems.en_US
dc.identifier.doi10.2298/FIL2324131H
dc.identifier.endpage8144en_US
dc.identifier.issn0354-5180
dc.identifier.issue24en_US
dc.identifier.scopus2-s2.0-85164132703en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage8131en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2324131H
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13898
dc.identifier.volume37en_US
dc.identifier.wosWOS:001023983500001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
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/openAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectMidpoint inequalityen_US
dc.subjectFractional integral operatorsen_US
dc.subjectConvex functionen_US
dc.subjectTwice differentiable functionen_US
dc.subjectHadamard-Type Inequalitiesen_US
dc.subjectIntegral-Inequalitiesen_US
dc.subjectReal Numbersen_US
dc.subjectMappingsen_US
dc.titleFractional midpoint-type inequalities for twice-differentiable functionsen_US
dc.typeArticleen_US

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