The Sharpness of Convergence Results for <i>q</I>-bernstein Polynomials in The Case <i>q</I> > 1
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BRONZE
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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, Approximation by polynomials, Cauchy estimates, \(q\)-Bernstein polynomials, \(q\)-integers, Approximation in the complex plane, \(q\)-binomial coefficients, uniform convergence, analytic function
Fields of Science
0101 mathematics, 01 natural sciences
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Scopus Q
OpenCitations Citation Count
21
Volume
58
Issue
4
Start Page
1195
End Page
1206
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CrossRef : 16
Scopus : 19
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Mendeley Readers : 2
SCOPUS™ Citations
19
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16
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