Weighted Fractional Euler-Maclaurin-Type Inequalities by Various Function Classes

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dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2025-10-11T20:48:22Z
dc.date.available2025-10-11T20:48:22Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we establish weighted Euler-Maclaurin-type inequalities for various classes of functions by employing Riemann-Liouville fractional integrals. To begin with, we derive a fundamental integral identity using a positive weight function, which serves as the basis for our main results. Utilizing this identity in combination with Riemann-Liouville fractional integrals, we present several weighted Euler-Maclaurin-type inequalities that are applicable to a broad range of function classes, including differentiable convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation. These results offer a deeper understanding of Euler-Maclaurin-type inequalities and suggest potential avenues for future research. The findings presented herein extend and generalize previous results available in the literature.en_US
dc.identifier.doi10.1080/10586458.2025.2551929
dc.identifier.issn1058-6458
dc.identifier.issn1944-950X
dc.identifier.scopus2-s2.0-105016220162en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1080/10586458.2025.2551929
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21874
dc.identifier.wosWOS:001568385000001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofExperimental Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectEuler-Maclaurin-type inequalitiesen_US
dc.subjectconvex functionsen_US
dc.subjectbounded functions Lipschitzian functionsen_US
dc.subjectfunctions of bounded variationen_US
dc.titleWeighted Fractional Euler-Maclaurin-Type Inequalities by Various Function Classesen_US
dc.typeArticleen_US

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