Fractional Milne-type inequalities for twice differentiable functions for Riemann-Liouville fractional integrals

Basit Öğe Kaydı
dc.contributor.authorHaider, Wali
dc.contributor.authorBudak, Huseyin
dc.contributor.authorShehzadi, Asia
dc.date.accessioned2025-10-11T20:48:39Z
dc.date.available2025-10-11T20:48:39Z
dc.date.issued2024
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this research, we investigate the error bounds associated with Milne's formula, a well-known open Newton-Cotes approach, initially focused on differentiable convex functions within the frameworks of fractional calculus. Building on this work, we investigate fractional Milne-type inequalities, focusing on their application to the more refined class of twice-differentiable convex functions. This study effectively presents an identity involving twice differentiable functions and Riemann-Liouville fractional integrals. Using this newly established identity, we established error bounds for Milne's formula in fractional and classical calculus. This study emphasizes the significance of convexity principles and incorporates the use of the H & ouml;lder inequality in formulating novel inequalities. In addition, we present precise mathematical illustrations to showcase the accuracy of the recently established bounds for Milne's formula.en_US
dc.identifier.doi10.1007/s13324-024-00980-5
dc.identifier.issn1664-2368
dc.identifier.issn1664-235X
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85206653206en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1007/s13324-024-00980-5
dc.identifier.urihttps://hdl.handle.net/20.500.12684/22038
dc.identifier.volume14en_US
dc.identifier.wosWOS:001335600000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofAnalysisand Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectInequalities of Milne-typeen_US
dc.subjectFractional versionen_US
dc.subjectTwice differentiable convex functionen_US
dc.titleFractional Milne-type inequalities for twice differentiable functions for Riemann-Liouville fractional integralsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu