Approximation properties of bivariate complex q-Bernstein polynomials in the case q > 1

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dc.contributor.authorMahmudov, Nazim I.
dc.date.accessioned2026-02-06T18:34:20Z
dc.date.issued2012
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn the paper, we discuss convergence properties and Voronovskaja type theorem for bivariate q-Bernstein polynomials for a function analytic in the polydisc for arbitrary fixed q > 1. We give quantitative Voronovskaja type estimates for the bivariate q-Bernstein polynomials for q > 1. In the univariate case the similar results were obtained by S.Ostrovska: q-Bernstein polynomials and their iterates. J. Approximation Theory 123 (2003), 232-255, and S.G.Gal: Approximation by Complex Bernstein and Convolution Type Operators. Series on Concrete and Applicable Mathematics 8. World Scientific, New York, 2009.
dc.identifier.doi10.1007/s10587-012-0029-2
dc.identifier.endpage566
dc.identifier.issn0011-4642
dc.identifier.issue2
dc.identifier.scopus2-s2.0-84867527092
dc.identifier.scopusqualityQ3
dc.identifier.startpage557
dc.identifier.urihttps://doi.org/10.1007/s10587-012-0029-2
dc.identifier.urihttps://hdl.handle.net/11129/11751
dc.identifier.volume62
dc.identifier.wosWOS:000309864300017
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofCzechoslovak Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectq-Bernstein polynomials
dc.subjectmodulus of continuity
dc.subjectVoronovskaja type theorem
dc.titleApproximation properties of bivariate complex q-Bernstein polynomials in the case q > 1
dc.typeArticle

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