Convergence of generalized Bernstein polynomials
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Date
2002
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Publisher
Academic Press inc Elsevier Science
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).
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Keywords
generalized Bernstein polynomials, q-integers, q-binomial coefficients, convergence
Turkish CoHE Thesis Center URL
Citation
127
WoS Q
Q2
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Source
Volume
116
Issue
1
Start Page
100
End Page
112