On New Generalized Fractional Integral Operators and Related Fractional Inequalities

dc.contributor.authorTunç, Tuba
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorUsta, Fuat
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2025-03-24T19:50:15Z
dc.date.available2025-03-24T19:50:15Z
dc.date.issued2020
dc.departmentDüzce Üniversitesi
dc.description.abstractIn this paper, we define the generalized $k$-fractional integrals of a function with respect to the another function which generalizes many different types of fractional integrals such as Riemann-Liouville fractional, Hadamard fractional integrals, Katugampola fractional integral, $(k,s)$-fractional integral operators. Moreover, we obtain Hermite-Hadamard inequalities utilizing $k$-fractional integrals of a function with respect to the another function. We also investigate trapezoid inequalities for the functions whose derivatives in absolute value are convex. Finally, some special cases of these inequalities are given.
dc.identifier.endpage278
dc.identifier.issn2147-625X
dc.identifier.issue2
dc.identifier.startpage268
dc.identifier.urihttps://hdl.handle.net/20.500.12684/19645
dc.identifier.volume8
dc.language.isoen
dc.publisherMehmet Zeki SARIKAYA
dc.relation.ispartofKonuralp Journal of Mathematics
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20250324
dc.subjectFractional integral operators|Hermite-Hadamard inequality|midpoint inequality|convex function.
dc.titleOn New Generalized Fractional Integral Operators and Related Fractional Inequalities
dc.typeArticle

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