Fractional Milne-type inequalities by various function classes

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dc.contributor.authorUnal, Cihan
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2026-04-25T14:19:50Z
dc.date.available2026-04-25T14:19:50Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractThe manuscript's authors examine some Milne-type inequalities for various function classes. Firstly, some Milne-type inequalities are established for differentiable convex functions by using Riemann-Liouville integrals. Secondly, we provide some fractional Milne-type inequalities for bounded functions by fractional integrals. Afterwards, we offer several Milne-type inequalities for Lipschitzian functions. Likewise, we offers Milne-type inequalities by fractional integrals of bounded variation. Finally, we demonstrate the correctness of our results by using special cases and examples of the obtained theorems.
dc.identifier.doi10.1007/s11766-025-5194-9
dc.identifier.endpage936
dc.identifier.issn1005-1031
dc.identifier.issn1993-0445
dc.identifier.issue4
dc.identifier.orcid0000-0001-8843-955X
dc.identifier.scopus2-s2.0-105027385777
dc.identifier.scopusqualityQ3
dc.identifier.startpage916
dc.identifier.urihttps://doi.org/10.1007/s11766-025-5194-9
dc.identifier.urihttps://hdl.handle.net/11486/8218
dc.identifier.volume40
dc.identifier.wosWOS:001660445000014
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherZhejiang Univ Press
dc.relation.ispartofApplied Mathematics-A Journal of Chinese Universities Series B
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260420
dc.subjectMilne-type inequalities
dc.subjectquadrature formulae
dc.subjectopen Newton-Cotes formulas
dc.titleFractional Milne-type inequalities by various function classes
dc.typeArticle

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