Generalizations Euler-Maclaurin-type inequalities for conformable fractional integrals

dc.authoridBudak, Huseyin/0000-0001-8843-955X;
dc.contributor.authorHaider, Wali
dc.contributor.authorBudak, Huseyin
dc.contributor.authorShehzadi, Asia
dc.contributor.authorHezenci, Fatih
dc.contributor.authorChen, Haibo
dc.date.accessioned2025-10-11T20:47:53Z
dc.date.available2025-10-11T20:47:53Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this study, we obtain a unique insight into differentiable convex functions by employing newly defined conformable fractional integrals. With this innovative approach, we unveil fresh Euler-Maclaurintype inequalities designed specifically for these integrals. Our proofs draw on fundamental mathematical principles, including convexity, Holder's inequality, and power mean inequality. Furthermore, we delve into new inequalities applicable to bounded functions, Lipschitzian functions, and functions of bounded variation. Notably, our findings align with established results under particular circumstances.en_US
dc.identifier.doi10.2298/FIL2503033H
dc.identifier.endpage1049en_US
dc.identifier.issn0354-5180
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-105013878697en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1033en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2503033H
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21634
dc.identifier.volume39en_US
dc.identifier.wosWOS:001470436100024en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_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.subjectConformable fractional integralsen_US
dc.subjectBounded functionen_US
dc.subjectFunction of bounded variationen_US
dc.titleGeneralizations Euler-Maclaurin-type inequalities for conformable fractional integralsen_US
dc.typeArticleen_US

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