Novel results on trapezoid-type inequalities for conformable fractional integrals

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dc.authorscopusid55577228500en_US
dc.authorscopusid57038541500en_US
dc.authorwosidHezenci, Fatih/KFB-5970-2024en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2024-08-23T16:03:23Z
dc.date.available2024-08-23T16:03:23Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThis paper establishes an identity for the case of differentiable s-convex functions with respect to the conformable fractional integrals. By using this identity, sundry trapezoid-type inequalities are proven by s-convex functions with the help of the conformable fractional integrals. Several important inequalities are acquired with taking advantage of the convexity, the Holder inequality, and the power mean inequality. Moreover, an example using graph is given in order to show that our main results are correct. By using the special choices of the obtained results, we present several new results connected with trapezoid-type inequalities.en_US
dc.identifier.doi10.55730/1300-0098.3371
dc.identifier.endpage438en_US
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85152013473en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage425en_US
dc.identifier.trdizinid1160090en_US
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3371
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1160090
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13721
dc.identifier.volume47en_US
dc.identifier.wosWOS:000986888900007en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherTubitak Scientific & Technological Research Council Turkeyen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTrapezoid-type inequalityen_US
dc.subjectfractional conformable integralsen_US
dc.subjectfractional conformable derivativesen_US
dc.subjectfractional calculusen_US
dc.subjectconvex functionen_US
dc.subjectHadamard-Type Inequalitiesen_US
dc.subjectHermite-Hadamarden_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectReal Numbersen_US
dc.titleNovel results on trapezoid-type inequalities for conformable fractional integralsen_US
dc.typeArticleen_US

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