Smoothness Properties of Modified Bernstein-Kantorovich Operators

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dc.contributor.authorÖzarslan, Mehmet Ali
dc.contributor.authorDuman, Oktay
dc.date.accessioned2017-10-23T08:06:38Z
dc.date.available2017-10-23T08:06:38Z
dc.date.issued2016
dc.departmentEastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematicsen_US
dc.description.abstractIn this article, we consider modified Bernstein-Kantorovich operators and investigate their approximation properties. We show that the order of approximation to a function by these operators is at least as good as that of ones classically used. We obtain a simultaneous approximation result for our operators. Also, we prove two direct approximation results via the usual second-order modulus of smoothness and the second-order Ditzian-Totik modulus of smoothness, respectively. Finally, some graphical illustrations are provided.en_US
dc.identifier.doi10.1080/01630563.2015.1079219
dc.identifier.endpage105en_US
dc.identifier.issn0163-0563 (print)
dc.identifier.issn1532-2467 (online)
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84952684307
dc.identifier.scopusqualityQ2
dc.identifier.startpage92en_US
dc.identifier.urihttp://dx.doi.org/10.1080/01630563.2015.1079219
dc.identifier.urihttps://hdl.handle.net/11129/3441
dc.identifier.volume37en_US
dc.identifier.wosWOS:000367341700007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTaylor & Francisen_US
dc.relation.ispartofNumerical Functional Analysis and Optimization
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject41A36, modulus of continuity,en_US
dc.subjectBernstein-Kantorovich operators, simultaneous approximationen_US
dc.subjectDitzian-Totik modulus of smoothness, 41A25, MATHEMATICS, APPLIEDen_US
dc.subjectPOSITIVE LINEAR-OPERATORS, APPROXIMATION PROPERTIESen_US
dc.subjectmodulus ofcontinuity, Ditzian-Totik modulus ofsmoothnessen_US
dc.titleSmoothness Properties of Modified Bernstein-Kantorovich Operatorsen_US
dc.typeArticle

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