HERMITE-HADAMARD TYPE INEQUALITIES FOR THE RIGHT RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS WITH VARIABLE ORDER

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dc.contributor.authorHaider, Wali
dc.contributor.authorChen, Haibo
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorShehzadi, Asia
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2026-07-01T11:39:30Z
dc.date.available2026-07-01T11:39:30Z
dc.date.issued2025
dc.departmentDüzce Üniversitesi
dc.description.abstractIn this paper, we prove significant results related to the Hermite-Hadamard inequality for convex functions in the framework of Riemann-Liouville fractional integrals with variable order. Two novel equalities are proved to have new fractional trapezoid and midpoint-type inequalities for the differentiable convex functions. This work provides a computational analysis of these inequalities, with numerical examples for convex functions. Additionally, it is demonstrated that the newly identified inequalities represent a generalisation of the comparable inequalities in the literature.
dc.identifier.doi10.18514/MMN.2025.4854
dc.identifier.endpage812
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue2
dc.identifier.orcid0000-0001-8843-955X
dc.identifier.scopus2-s2.0-105030232692
dc.identifier.scopusqualityQ2
dc.identifier.startpage797
dc.identifier.urihttps://doi.org/10.18514/MMN.2025.4854
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23334
dc.identifier.volume26
dc.identifier.wosWOS:001648012400017
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Miskolc Inst Math
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260623
dc.subjectHermite-Hadamard Inequality
dc.subjectRiemann-Liouville Fractional Integral
dc.subjectIntegral Inequalities
dc.titleHERMITE-HADAMARD TYPE INEQUALITIES FOR THE RIGHT RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS WITH VARIABLE ORDER
dc.typeArticle

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