Inequalities with parameters for twice-differentiable functions involving Riemann-Liouville fractional integrals

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dc.authorscopusid55577228500en_US
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2024-08-23T16:03:44Z
dc.date.available2024-08-23T16:03:44Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, it is given an equality for twice-differentiable functions whose second derivatives in absolute value are convex. By using this equality, it is established several left and right Hermite- Hadamard type inequalities and Simpson type inequalities for the case of Riemann-Liouville fractional integral. Namely, midpoint, trapezoid and also Simpson type inequalities are obtained for Riemann- Liouville fractional integral by using special cases of main results.en_US
dc.identifier.doi10.2298/FIL2409275H
dc.identifier.endpage3294en_US
dc.identifier.issn0354-5180
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85189097593en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage3275en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2409275H
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13891
dc.identifier.volume38en_US
dc.identifier.wosWOS:001193633800001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorHezenci, Fatihen_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/closedAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectSimpson inequalityen_US
dc.subjectFractional integral operatorsen_US
dc.subjectConvex functionen_US
dc.subjectTwice differentiable functionen_US
dc.subjectMidpoint-Type Inequalitiesen_US
dc.subjectHadamard-Type Inequalitiesen_US
dc.subjectHermite-Hadamarden_US
dc.subjectReal Numbersen_US
dc.subjectSimpson Typeen_US
dc.subjectMappingsen_US
dc.titleInequalities with parameters for twice-differentiable functions involving Riemann-Liouville fractional integralsen_US
dc.typeArticleen_US

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