The sharpness of convergence results for <Emphasis Type="Italic">q</Emphasis>-Bernstein polynomials in the case <Emphasis Type="Italic">q</Emphasis> > 1 |
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| Authors: | Sofiya Ostrovska |
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| Institution: | (1) Department of Mathematics, Atilim University, 068 36 Incek, Ankara, Turkey |
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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 C0, 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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