THE SHARPNESS OF CONVERGENCE RESULTS FOR <i>q</i>-BERNSTEIN POLYNOMIALS IN THE CASE <i>q</i> > 1
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Date
2008
Authors
Ostrovska, Sofiya
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Publisher
Springer Heidelberg
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Abstract
Due to the fact that in the case q > 1 the q-Bernstein polynomials are no longer positive linear operators on C[0, 1], the study of their convergence properties turns out to be essentially more difficult than that for q 1. In this paper, new saturation theorems related to the convergence of q-Bernstein polynomials in the case q > 1 are proved.
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Keywords
q-integers, q-binomial coefficients, q-Bernstein polynomials, uniform convergence, analytic function, Cauchy estimates
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Citation
15
WoS Q
Q4
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Source
Volume
58
Issue
4
Start Page
1195
End Page
1206