On Generalization of Midpoint and Trapezoid Type Inequalities Involving Fractional Integrals

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dc.contributor.authorSarikaya, Mehmet Zeki
dc.contributor.authorSonmezoglu, Sumeyye
dc.date.accessioned2021-12-01T18:47:03Z
dc.date.available2021-12-01T18:47:03Z
dc.date.issued2020
dc.department[Belirlenecek]en_US
dc.description.abstractIn this paper, we first give a lemma for twice differentiable function to obtain trapezoid and midpoint inequalities. By using this lemma, we establish some inequalities for mapping whose second derivatives in absolute value are convex via Riemann-Liouville fractional integrals. These results generalize the midpoint and trapezoid inequalities involving Riemann-Liouville fractional integrals given in earlier studies.en_US
dc.identifier.endpage132en_US
dc.identifier.issn1735-8299
dc.identifier.issue3en_US
dc.identifier.startpage117en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10122
dc.identifier.volume14en_US
dc.identifier.wosWOS:000610186900007en_US
dc.identifier.wosqualityN/Aen_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.subjectHermite-Hadamard inequalityen_US
dc.subjectmidpoint in-equalityen_US
dc.subjectfractional integral operatorsen_US
dc.subjectconvex functionen_US
dc.subjectHermite-Hadamard Typeen_US
dc.subjectS-Convex Functionsen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectReal Numbersen_US
dc.titleOn Generalization of Midpoint and Trapezoid Type Inequalities Involving Fractional Integralsen_US
dc.typeArticleen_US

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