On Pointwise Convergence of q-Bernstein Operators and Their q-Derivatives

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dc.contributor.authorAcar, Tuncer
dc.contributor.authorAral, Ali
dc.date.accessioned2020-06-25T18:13:29Z
dc.date.available2020-06-25T18:13:29Z
dc.date.issued2015
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459
dc.description.abstractPointwise convergence of q-Bernstein polynomials and their q-derivatives in the case of 0 < q < 1 is discussed. We study quantitative Voronovskaya type results for q-Bernstein polynomials and their q-derivatives. These theorems are given in terms of the modulus of continuity of q-derivative of f which is the main interest of this article. It is also shown that our results hold for continuous functions although those are given for two and three times continuously differentiable functions in classical case.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1080/01630563.2014.970646
dc.identifier.endpage304en_US
dc.identifier.issn0163-0563
dc.identifier.issn1532-2467
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84929075591
dc.identifier.scopusqualityQ2
dc.identifier.startpage287en_US
dc.identifier.urihttps://doi.org/10.1080/01630563.2014.970646
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6203
dc.identifier.volume36en_US
dc.identifier.wosWOS:000350817400002
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofNumerical Functional Analysis And Optimization
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject41A36en_US
dc.subject41A25en_US
dc.subjectQuantitative Voronovskaya-type theoremen_US
dc.subjectq-Bernstein operatorsen_US
dc.subjectq-derivativeen_US
dc.titleOn Pointwise Convergence of q-Bernstein Operators and Their q-Derivativesen_US
dc.typeArticle

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