New approaches to corrected Euler-Maclaurin-type inequalities involving Riemann-Liouville fractional integrals for different function classes

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dc.contributor.authorKara, Hasan
dc.contributor.authorHezenci, Fatih
dc.contributor.authorMunir, Arslan
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2025-10-11T20:48:02Z
dc.date.available2025-10-11T20:48:02Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis paper investigates several Corrected Euler-Maclaurin-type inequalities for different function classes using Riemann-Liouville fractional integrals. The results, which are derived from special cases of theorems and illustrative examples, are subsequently presented. Furthermore, the authors have developed fractional Corrected Euler-Maclaurin-type inequalities for bounded functions. In addition, the research has acquired fractional Corrected Euler-Maclaurin-type inequalities for Lipschitzian functions. Finally, the study concludes with the derivation of fractional Corrected Euler-Maclaurin-type inequalities for functions of bounded variation.en_US
dc.identifier.doi10.1186/s13661-025-02084-w
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105008196894en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-025-02084-w
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21721
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001509870000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectQuadrature formulaeen_US
dc.subjectMaclaurin's formulaen_US
dc.subjectCorrected Euler-Maclaurin-type inequalityen_US
dc.subjectConvex functionsen_US
dc.subjectFractional calculusen_US
dc.titleNew approaches to corrected Euler-Maclaurin-type inequalities involving Riemann-Liouville fractional integrals for different function classesen_US
dc.typeArticleen_US

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