ON INEQUALITIES OF SIMPSON?S TYPE FOR CONVEX FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS

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dc.contributor.authorKara, Hasan
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2023-07-26T11:54:23Z
dc.date.available2023-07-26T11:54:23Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractFractional calculus and applications have application areas in many different fields such as physics, chemistry, and engineering as well as mathemat-ics. The application of arithmetic carried out in classical analysis in fractional analysis is very important in terms of obtaining more realistic results in the solution of many problems. In this study, we prove an identity involving gen-eralized fractional integrals by using differentiable functions. By utilizing this identity, we obtain several Simpson's type inequalities for the functions whose derivatives in absolute value are convex. Finally, we present some new results as the special cases of our main results.en_US
dc.identifier.doi10.31801/cfsuasmas.1004300
dc.identifier.endpage825en_US
dc.identifier.issn1303-5991
dc.identifier.issue3en_US
dc.identifier.startpage806en_US
dc.identifier.trdizinid1126003en_US
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1004300
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/1126003
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12818
dc.identifier.volume71en_US
dc.identifier.wosWOS:000867519100015en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.institutionauthorKara, Hasan; Budak, Hüseyin; Hezenci, Fatih
dc.language.isoenen_US
dc.publisherAnkara Univ, Fac Scien_US
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmz$2023V1Guncelleme$en_US
dc.subjectSimpson Type Inequalities; Convex Function; Generalized Fractional Integralsen_US
dc.subjectHermite-Hadamard-Typeen_US
dc.titleON INEQUALITIES OF SIMPSON?S TYPE FOR CONVEX FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALSen_US
dc.typeArticleen_US

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