The Convergence of <i>q</I>-bernstein Polynomials (0 < <i>q</I> < 1) in the Complex Plane
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Date
2009
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley-v C H verlag Gmbh
Open Access Color
Green Open Access
No
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No
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Top 10%
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Top 10%
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Average
Abstract
The paper focuses at the estimates for the rate of convergence of the q-Bernstein polynomials (0 < q < 1) in the complex plane. In particular, a generalization of previously known results on the possibility of analytic continuation of the limit function and an elaboration of the theorem by Wang and Meng is presented. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Description
Keywords
q-Bernstein polynomials, rate of convergence, Lipschitz continuous functions, modulus of continuity, analytic continuation, Lipschitz continuous functions, analytic continuation, Approximation by polynomials, \(q\)-Bernstein polynomials, modulus of continuity, Approximation by positive operators, Quasivarieties and varieties of groups, rate of convergence
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
10
Source
Mathematische Nachrichten
Volume
282
Issue
2
Start Page
243
End Page
252
PlumX Metrics
Citations
CrossRef : 9
Scopus : 13
SCOPUS™ Citations
13
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Web of Science™ Citations
11
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1
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