A study on conformable fractional version of Bullen-type inequalities

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dc.authorscopusid55577228500en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid57208224500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidHezenci, Fatih/KFB-5970-2024en_US
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorKara, Hasan
dc.date.accessioned2024-08-23T16:03:23Z
dc.date.available2024-08-23T16:03:23Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we give an equality for the case of differentiable convex functions involving conformable fractional integrals. Bullen-type inequalities for the conformable fractional integrals are established by using this equality. Some important inequalities are obtained by taking advantage of the convexity, the Holder inequality and the power mean inequality. By using special choices, we present some known results in the literature. Furthermore, we give an example using a graph in order to show that our main results are correct.en_US
dc.identifier.doi10.55730/1300-0098.3429
dc.identifier.endpage1317en_US
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85160302395en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1306en_US
dc.identifier.trdizinid1180480en_US
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3429
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1180480
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13719
dc.identifier.volume47en_US
dc.identifier.wosWOS:000996022900018en_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.subjectBullen type inequalityen_US
dc.subjectfractional conformable integralsen_US
dc.subjectfractional conformable derivativesen_US
dc.subjectfractional calculusen_US
dc.subjectconvex functionen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectIntegral-Inequalitiesen_US
dc.subjectHermite-Hadamarden_US
dc.subjectReal Numbersen_US
dc.titleA study on conformable fractional version of Bullen-type inequalitiesen_US
dc.typeArticleen_US

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