Advancements in corrected Euler-Maclaurin-type inequalities via conformable fractional integrals

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dc.contributor.authorAcar, Yaren
dc.contributor.authorBudak, Huseyin
dc.contributor.authorBas, Umut
dc.contributor.authorHezenci, Fatih
dc.contributor.authorYildirim, Huseyin
dc.date.accessioned2025-10-11T20:48:02Z
dc.date.available2025-10-11T20:48:02Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this research article, equality is proved to obtain corrected Euler-Maclaurin-type inequalities. Using this identity, we establish several corrected Euler-Maclaurin-type inequalities for the case of differentiable convex functions by means of conformable fractional integrals. Moreover, some corrected Euler-Maclaurin-type inequalities are given for bounded functions by fractional integrals. Additionally, fractional corrected Euler-Maclaurin-type inequalities are constructed for Lipschitzian functions. Finally, corrected Euler-Maclaurin-type inequalities are considered by fractional integrals of bounded variation.en_US
dc.identifier.doi10.1186/s13661-024-01990-9
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85217550946en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-024-01990-9
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21727
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001393527000001en_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.subjectCorrected Maclaurin's formulaen_US
dc.subjectFractional calculusen_US
dc.subjectConformable fractional integralsen_US
dc.titleAdvancements in corrected Euler-Maclaurin-type inequalities via conformable fractional integralsen_US
dc.typeArticleen_US

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