Some New Approaches to Fractional Euler-Maclaurin-Type Inequalities via Various Function Classes

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dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authoridGumus, Mehmet/0000-0002-7447-479Xen_US
dc.authoridHezenci, Fatih/0000-0003-1008-5856en_US
dc.authorscopusid55356865500en_US
dc.authorscopusid55577228500en_US
dc.authorscopusid57038541500en_US
dc.contributor.authorGumus, Mehmet
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2024-08-23T16:03:37Z
dc.date.available2024-08-23T16:03:37Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis paper aims to examine an approach that studies many Euler-Maclaurin-type inequalities for various function classes applying Riemann-Liouville fractional integrals. Afterwards, our results are provided by using special cases of obtained theorems and examples. Moreover, several Euler-Maclaurin-type inequalities are presented for bounded functions by fractional integrals. Some fractional Euler-Maclaurin-type inequalities are established for Lipschitzian functions. Finally, several Euler-Maclaurin-type inequalities are constructed by fractional integrals of bounded variation.en_US
dc.identifier.doi10.3390/fractalfract8070372
dc.identifier.issn2504-3110
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85199554184en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract8070372
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13818
dc.identifier.volume8en_US
dc.identifier.wosWOS:001277378500001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal And Fractionalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectquadrature formulaeen_US
dc.subjectMaclaurin's formulaen_US
dc.subjectconvex functionsen_US
dc.subjectfractional calculusen_US
dc.titleSome New Approaches to Fractional Euler-Maclaurin-Type Inequalities via Various Function Classesen_US
dc.typeArticleen_US

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