The Convergence of <i>q</I>-bernstein Polynomials (0 < <i>q</I> < 1) and Limit <i>q</I>-bernstein Operators in Complex Domains
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Date
2009
Authors
Ostrovska, Sofiya
Ostrovska, Sofiya
Wang, Heping
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Publisher
Rocky Mt Math Consortium
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Abstract
Due to the fact that the convergence properties of q-Bernstein polynomials are not similar to those in the classical case q = 1, their study has become an area of intensive research with a wide scope of open problems and unexpected results. The present paper is focused on the convergence of q-Bernstein polynomials, 0 < q < 1, and related linear operators in complex domains. An analogue of the classical result on the simultaneous approximation is presented. The approximation of analytic functions With the help of the limit q-Bernstein operator is studied.
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Keywords
q-integers, q-binomial coefficients, q-Bernstein polynomials, uniform convergence
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Citation
1
WoS Q
Q3
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Source
Volume
39
Issue
4
Start Page
1279
End Page
1291