Fractional Hermite-Hadamard and Bullen-Type Inequalities on the Discrete Time Scale

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dc.contributor.authorAlqahtani, Rubayyi T.
dc.contributor.authorSarikaya, Mehmet Zeki
dc.date.accessioned2026-07-01T11:39:18Z
dc.date.available2026-07-01T11:39:18Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractThis paper develops a unified fractional version of the Hermite-Hadamard inequality and Bullen-type inequalities for convex functions defined on discrete time scales. By employing generalized fractional difference operators, the obtained result encompasses and extends previously known discrete formulations, including both the classical case and higher-order variants. Furthermore, we investigate the approximation accuracy of the introduced fractional mean operator. Specifically, we establish explicit error bounds for Lipschitz functions and for functions with convex differences, providing a more comprehensive analysis of the discrete fractional setting.
dc.identifier.doi10.3390/math14040598
dc.identifier.issn2227-7390
dc.identifier.issue4
dc.identifier.scopus2-s2.0-105031412767
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math14040598
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23223
dc.identifier.volume14
dc.identifier.wosWOS:001700814800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260623
dc.subject[Keyword Not Available]
dc.titleFractional Hermite-Hadamard and Bullen-Type Inequalities on the Discrete Time Scale
dc.typeArticle

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