Some Riemann-Liouville fractional integral inequalities of corrected Euler-Maclaurin-type

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dc.authoridHezenci, Fatih/0000-0003-1008-5856en_US
dc.authorscopusid55577228500en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hueseyin
dc.date.accessioned2024-08-23T16:04:58Z
dc.date.available2024-08-23T16:04:58Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this research article, an equality is established for Riemann-Liouville fractional integral. With the help of this equality, some corrected Euler-Maclaurin-type inequalities are established for the case of differentiable convex functions by using to the well-known Riemann-Liouville fractional integrals. Several important inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. Moreover, we give example using graph in order to show that our main results are correct. Furthermore, we provide our results by using special cases of obtained theorems.en_US
dc.identifier.doi10.1007/s41478-024-00753-0
dc.identifier.endpage1330en_US
dc.identifier.issn0971-3611
dc.identifier.issn2367-2501
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85189912750en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1309en_US
dc.identifier.urihttps://doi.org/10.1007/s41478-024-00753-0
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14435
dc.identifier.volume32en_US
dc.identifier.wosWOS:001197083700003en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringernatureen_US
dc.relation.ispartofJournal of Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectQuadrature formulaeen_US
dc.subjectCorrected Maclaurin's formulaen_US
dc.subjectConvex functionsen_US
dc.subjectFractional calculusen_US
dc.titleSome Riemann-Liouville fractional integral inequalities of corrected Euler-Maclaurin-typeen_US
dc.typeArticleen_US

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