Hermite-Hadamard Inequalities for a New Riemann-Liouville-Type Operator

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dc.contributor.authorAlqahtani, Rubayyi T.
dc.contributor.authorSarikaya, Mehmet Zeki
dc.contributor.authorAlharthi, Nadiyah Hussain
dc.date.accessioned2026-07-01T11:39:20Z
dc.date.available2026-07-01T11:39:20Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractWe introduce a new class of fractional remainder operators, denoted by R alpha,n xi+ and R alpha,n eta-, which generalize and unify various classical integral identities. Using these operators, we formulate refined Hermite-Hadamard and trapezoidal inequalities for differentiable functions. The novelty of our approach lies in its symmetric kernel structure, which facilitates tighter error bounds. Numerical examples are given, including applications to non-differentiable convex functions, to demonstrate the applicability and limitations of the derived results.
dc.identifier.doi10.3390/fractalfract10030147
dc.identifier.issn2504-3110
dc.identifier.issue3
dc.identifier.scopus2-s2.0-105033917184
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract10030147
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23239
dc.identifier.volume10
dc.identifier.wosWOS:001726212300001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofFractal and Fractional
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.titleHermite-Hadamard Inequalities for a New Riemann-Liouville-Type Operator
dc.typeArticle

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