Some Bullen-Type Inequalities For Generalized Fractional Integrals

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dc.authorscopusid55475714400en_US
dc.authorscopusid57199279462en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid55659746200en_US
dc.authorwosidZhao, Dafang/AAC-3583-2021en_US
dc.authorwosidAli, Muhammad Aamir/AAA-1831-2022en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorZhao, Dafang
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Hueseyin
dc.contributor.authorHe, Zai-yin
dc.date.accessioned2024-08-23T16:04:14Z
dc.date.available2024-08-23T16:04:14Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we establish some new Bullen-type inequalities for differentiable convex functions using the generalized fractional integrals. The main advantage of the inequalities and operators used to obtain them is that these inequalities can be turned into some existing inequalities for Riemann integrals and new inequalities for Riemann-Liouville fractional integral inequalities and k-fractional integrals. Finally, we add some applications of special means of real numbers using the newly established inequalities to make these results more interesting.en_US
dc.description.sponsorshipOpen Fund of National Cryosphere Desert Data Center of China [2021kf03]en_US
dc.description.sponsorshipThe work was supported by Open Fund of National Cryosphere Desert Data Center of China (2021kf03).en_US
dc.identifier.doi10.1142/S0218348X23400601
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85158012533en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1142/S0218348X23400601
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14114
dc.identifier.volume31en_US
dc.identifier.wosWOS:000978807400006en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofFractals-Complex Geometry Patterns And Scaling in Nature And Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMidpoint Inequalitiesen_US
dc.subjectTrapezoid Inequalitiesen_US
dc.subjectFractional Calculusen_US
dc.subjectConvex Functionsen_US
dc.subjectHermite-Hadamarden_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectReal Numbersen_US
dc.titleSome Bullen-Type Inequalities For Generalized Fractional Integralsen_US
dc.typeArticleen_US

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