Some new fractal Milne-type inequalities for generalized convexity with applications

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dc.contributor.authorMunir, Arslan
dc.contributor.authorBudak, Huseyin
dc.contributor.authorKashuri, Artion
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2025-10-11T20:48:02Z
dc.date.available2025-10-11T20:48:02Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractFractals are of immense importance across various branches of mathematics, science, and integral inequalities, as their intricate, self-similar structures can model complex natural phenomena and enhance the precision of mathematical descriptions. In this article, we explore generalized Milne-type integral inequalities within the framework of generalized m-convex functions on fractal sets. To achieve this, we introduce a novel fractal integral identity involving differentiable generalized functions. Utilizing this new identity, we derive several contemporary fractal Milne-type integral inequalities and provide specific inequalities for bounded functions. Additionally, we offer illustrative examples and applications, including additional inequalities for generalized special means and various error estimates for the generalized Milne-type quadrature formula.en_US
dc.identifier.doi10.1186/s13661-025-02082-y
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105008248158en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-025-02082-y
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21722
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001510466800001en_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.subjectMilne-type inequalityen_US
dc.subjectGeneralized m-convex functionen_US
dc.subjectLocal fractional integralsen_US
dc.subjectH & ouml;lder's inequalityen_US
dc.subjectPower mean inequalityen_US
dc.subjectSpecial meansen_US
dc.subjectQuadrature formulaen_US
dc.titleSome new fractal Milne-type inequalities for generalized convexity with applicationsen_US
dc.typeArticleen_US

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