Approximation by q-Bernstein Polynomials in the Case q→1+

Let Bn,q(f;x), q∈(0,∞) be the q-Bernstein polynomials of a function f∈C[0,1]. It has been known that, in general, the sequence Bn,qn(f) with qn→1+ is not an approximating sequence for f∈C[0,1], in contrast to the standard case qn→1-. In this paper, we give the sufficient and necessary condition unde...

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Bibliographic Details
Main Author: Xuezhi Wu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/259491
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