Extensions of Simpson's Inequality via Nonnegative Weight Functions and Fractional Operators

Basit Öğe Kaydı
dc.authoridOgunmez, Hasan/0000-0002-2018-317X
dc.contributor.authorOgunmez, Hasan
dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2025-10-11T20:48:11Z
dc.date.available2025-10-11T20:48:11Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we present a new version of Simpson-type inequalities for differentiable functions defined on a subinterval of the positive real axis. The approach involves a nonnegative integrable weight function and provides an identity that refines the classical Simpson inequality by incorporating the first derivative of the function. A key aspect of this work is the inclusion of the Riemann-Liouville fractional integral, through which we derive specific inequalities that extend the classical framework. In certain cases, our results reduce to the well-known Simpson inequality, demonstrating the generality and flexibility of the method.MSC2020 Classification: 26A09, 26D10, 26D15, 33E20en_US
dc.identifier.doi10.1155/admp/7710785
dc.identifier.issn1687-9120
dc.identifier.issn1687-9139
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105014509015en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1155/admp/7710785
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21788
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001559152900001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofAdvances in Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectconvex functionen_US
dc.subjectSimpson inequality and fractional operatoren_US
dc.subjectweight functionsen_US
dc.titleExtensions of Simpson's Inequality via Nonnegative Weight Functions and Fractional Operatorsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu