Conformable fractional Newton-type inequalities with respect to differentiable convex functions

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dc.authoridUnal, Cihan/0000-0002-7242-393Xen_US
dc.authorscopusid56516486800en_US
dc.authorscopusid55577228500en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidHezenci, Fatih/KFB-5970-2024en_US
dc.authorwosidUnal, Cihan/AAD-3578-2020en_US
dc.contributor.authoruenal, Cihan
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hueseyin
dc.date.accessioned2024-08-23T16:04:05Z
dc.date.available2024-08-23T16:04:05Z
dc.date.issued2023en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established equality. In addition, we prove several Newton-type inequalities with the aid of Holder and power-mean inequalities. Furthermore, several new results are given by using special choices of the obtained inequalities. Finally, we give several inequalities of conformable fractional Newton-type for functions of bounded variation.en_US
dc.identifier.doi10.1186/s13660-023-02996-0
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85162034229en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-023-02996-0
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14063
dc.identifier.volume2023en_US
dc.identifier.wosWOS:001009215400001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Inequalities And Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNewton formulaen_US
dc.subjectFractional calculusen_US
dc.subjectConformable fractional integralsen_US
dc.titleConformable fractional Newton-type inequalities with respect to differentiable convex functionsen_US
dc.typeArticleen_US

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