Asymptotic properties of powers of linear positive operators which preserve e2

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dc.contributor.authorMahmudov, N. I.
dc.date.accessioned2026-02-06T18:37:20Z
dc.date.issued2011
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this paper we prove Korovkin type theorem for iterates of general positive linear operators T : C[0, 1] -> C[0, 1] which preserve e(2) and derive quantitative estimates in terms of moduli of smoothness. The results can be applied to several well-known operators; we present here the Bernstein, the q-Bernstein, the genuine Bernstein-Durrmeyer and the genuine q-Bernstein-Durrmeyer operators. (C) 2011 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.camwa.2011.10.036
dc.identifier.endpage4575
dc.identifier.issn0898-1221
dc.identifier.issn1873-7668
dc.identifier.issue12
dc.identifier.scopus2-s2.0-82255196146
dc.identifier.scopusqualityQ1
dc.identifier.startpage4568
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2011.10.036
dc.identifier.urihttps://hdl.handle.net/11129/12423
dc.identifier.volume62
dc.identifier.wosWOS:000298824900026
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofComputers & Mathematics With Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectIterates of operators
dc.subjectDegree of approximation
dc.subjectModulus of smoothness
dc.subjectBernstein operators
dc.subjectGenuine Bernstein-Durrmeyer operators
dc.subjectKing type operators
dc.titleAsymptotic properties of powers of linear positive operators which preserve e2
dc.typeArticle

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