Convergence of Generalized Bernstein Polynomials
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Date
2002
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press inc Elsevier Science
Open Access Color
HYBRID
Green Open Access
No
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Top 1%
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Top 10%
Abstract
Let f is an element of C[0, 1], q is an element of (0, 1), and B-n(f, q; x) be generalized Bernstein polynomials based on the q-integers. These polynomials were introduced by G. M. Phillips in 1997. We study convergence properties of the sequence {B-n(f, q; x)}(n=1)(infinity). It is shown that in general these properties are essentially different from those in the classical case q = 1. (C) 2002 Elsevier Science (USA).
Description
Keywords
generalized Bernstein polynomials, q-integers, q-binomial coefficients, convergence, Mathematics(all), Numerical Analysis, convergence, Applied Mathematics, \(q\)-integers, Bernstein polynomials, q-integers, Approximation by polynomials, generalized Bernstein polynomials, \(q\)-binomial coefficients, Analysis, q-binomial coefficients
Fields of Science
01 natural sciences, 0101 mathematics
Citation
WoS Q
Q3
Scopus Q
OpenCitations Citation Count
109
Source
Journal of Approximation Theory
Volume
116
Issue
1
Start Page
100
End Page
112
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CrossRef : 107
Scopus : 132
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136
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126
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6
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