Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals

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dc.authorscopusid57199279462en_US
dc.authorscopusid35791985400en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorGoodrich, Christopher S. S.
dc.contributor.authorBudak, Hüseyin
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 main goal of the current study is to establish some new parameterized Newton-type inequalities for differentiable convex functions in the setting of fractional calculus. For this, first we prove a parameterized integral identity involving fractional integrals and then prove Newton-type inequalities for differentiable convex functions. It is also shown that the newly established parameterized inequalities are refinements of the already proved inequalities in the literature for different choices of parameters. Finally, we discuss a mathematical example along with a plot to show the validity of the newly established inequalities.en_US
dc.identifier.doi10.1186/s13660-023-02953-x
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85152677265en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-023-02953-x
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14064
dc.identifier.volume2023en_US
dc.identifier.wosWOS:000964457600001en_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.subjectSimpson's 3/8 formulaen_US
dc.subjectFractional Calculusen_US
dc.subjectConvex Functionsen_US
dc.subjectHadamard Type Inequalitiesen_US
dc.subjectConvex-Functionsen_US
dc.subjectSimpsons Typeen_US
dc.subjectReal Numbersen_US
dc.subjectMappingsen_US
dc.titleSome new parameterized Newton-type inequalities for differentiable functions via fractional integralsen_US
dc.typeArticleen_US

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