Fractional Euler-Maclaurin-type inequalities for twice-differentiable functions

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dc.contributor.authorShehzadi, Asia
dc.contributor.authorBudak, Huseyin
dc.contributor.authorHaider, Wali
dc.contributor.authorHezenci, Fatih
dc.contributor.authorChen, Haibo
dc.date.accessioned2025-10-11T20:48:02Z
dc.date.available2025-10-11T20:48:02Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis article establishes a novel equality for twice-differentiable functions with convex absolute values in their second derivatives. This equality is used to establish Euler-Maclaurin-type inequalities through Riemann-Liouville fractional integrals. By utilizing convexity, the power mean inequality, and the H & ouml;lder inequality, several significant fractional inequalities can be derived. Moreover, the recently derived inequalities are not only grounded in theory but are also accompanied by concrete instances to further solidify their validity.en_US
dc.identifier.doi10.1186/s13662-025-03976-y
dc.identifier.issn2731-4235
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105012019107en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-025-03976-y
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21718
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001538079600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofAdvances in Continuousand Discrete Modelsen_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.subjectConvex functionsen_US
dc.subjectFractional calculusen_US
dc.titleFractional Euler-Maclaurin-type inequalities for twice-differentiable functionsen_US
dc.typeArticleen_US

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