A study of Milne-type inequalities for several convex function classes with applications

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dc.contributor.authorMunir, Arslan
dc.contributor.authorQayyum, Ather
dc.contributor.authorBudak, Huseyin
dc.contributor.authorFaiz, Irza
dc.contributor.authorKara, Hasan
dc.contributor.authorSupadi, Siti Suzlin
dc.date.accessioned2025-10-11T20:47:53Z
dc.date.available2025-10-11T20:47:53Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractFractional integral operators have indeed been the subject of significant research in various mathematical and scientific disciplines over the past few decades. The main aim of this article is to establish a new identity employing the Atangana Baleanu fractional integral operator for the case of differentiable functions. Moreover, we present several fractional Milne-type inequalities for bounded function by fractional integrals. Furthermore, we obtain fractional Milne-type inequalities for the case of Lipschitzian functions. Lastly, we explore applications related to special means, and quadrature formulas.en_US
dc.identifier.doi10.2298/FIL2432539M
dc.identifier.endpage11551en_US
dc.identifier.issn0354-5180
dc.identifier.issue32en_US
dc.identifier.scopus2-s2.0-85215607090en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage11539en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2432539M
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21637
dc.identifier.volume38en_US
dc.identifier.wosWOS:001467756700023en_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.subjectMilne's Formula inequalitiesen_US
dc.subjects-convex functionen_US
dc.subjectFractional integralsen_US
dc.subjectHolder's inequalityen_US
dc.subjectBounded Functionen_US
dc.subjectBounded Functionen_US
dc.titleA study of Milne-type inequalities for several convex function classes with applicationsen_US
dc.typeArticleen_US

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