Some approximation properties of a certain nonlinear Bernstein operators

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dc.authorid0000-0002-3641-9052en_US
dc.authorid0000-0002-7340-8248en_US
dc.authorid0000-0003-3531-8150
dc.contributor.authorKarslı, Harun
dc.contributor.authorTiryaki, İsmail Uğur
dc.contributor.authorAltın, Hüseyin Erhan
dc.date.accessioned2021-06-23T19:36:36Z
dc.date.available2021-06-23T19:36:36Z
dc.date.issued2014
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe present paper concerns with a certain sequence of nonlinear Bernstein operators NB(n)f of the form (NB(n)f)(x) = Sigma(n)(k=0) P-k,P-n (x, f(k/n)) , 0 <= x <= 1; n is an element of N, acting on bounded functions on an interval [0,1], where P-k,P-n satisfy some suitable assumptions. We will also investigate the pointwise convergence of this operators in some functional spaces. As a result, this study can be considered as an extension of the results dealing with the linear Bernstein Polynomials. As far as we know this kind of study is the first one on the nonlinear Bernstein approximation operators.en_US
dc.identifier.doi10.2298/FIL1406295K
dc.identifier.endpage1305en_US
dc.identifier.issn0354-5180
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-84920023596en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1295en_US
dc.identifier.urihttps://doi.org/10.2298/FIL1406295K
dc.identifier.urihttps://hdl.handle.net/20.500.12491/8022
dc.identifier.volume28en_US
dc.identifier.wosWOS:000347517000020en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKarslı, Harun
dc.institutionauthorTiryaki, İsmail Uğur
dc.institutionauthorAltın, Hüseyin Erhan
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear Bernstein Operatorsen_US
dc.subjectBounded Variationen_US
dc.subject(L - psi) Lipschitz Conditionen_US
dc.subjectPointwise Convergenceen_US
dc.titleSome approximation properties of a certain nonlinear Bernstein operatorsen_US
dc.typeArticleen_US

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