Bounds for the Error in Approximating a Fractional Integral by Simpson's Rule

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dc.authoridSARIKAYA, Mehmet Zeki/0000-0002-6165-9242en_US
dc.authoridHezenci, Fatih/0000-0003-1008-5856en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authoridKARA, Hasan/0000-0002-2075-944Xen_US
dc.authorscopusid57038541500en_US
dc.authorscopusid55577228500en_US
dc.authorscopusid57208224500en_US
dc.authorscopusid35303422100en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidSARIKAYA, Mehmet Zeki/ABI-5543-2020en_US
dc.authorwosidHezenci, Fatih/KFB-5970-2024en_US
dc.contributor.authorBudak, Hueseyin
dc.contributor.authorHezenci, Fatih
dc.contributor.authorKara, Hasan
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2024-08-23T16:03:36Z
dc.date.available2024-08-23T16:03:36Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractSimpson's rule is a numerical method used for approximating the definite integral of a function. In this paper, by utilizing mappings whose second derivatives are bounded, we acquire the upper and lower bounds for the Simpson-type inequalities by means of Riemann-Liouville fractional integral operators. We also study special cases of our main results. Furthermore, we give some examples with graphs to illustrate the main results. This study on fractional Simpson's inequalities is the first paper in the literature as a method.en_US
dc.identifier.doi10.3390/math11102282
dc.identifier.issn2227-7390
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85160558657en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/math11102282
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13811
dc.identifier.volume11en_US
dc.identifier.wosWOS:000998155600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofMathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSimpson-type inequalityen_US
dc.subjectintegral inequalitiesen_US
dc.subjectbounded functionsen_US
dc.subjectInequalitiesen_US
dc.subjectConvexen_US
dc.titleBounds for the Error in Approximating a Fractional Integral by Simpson's Ruleen_US
dc.typeArticleen_US

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