The Truncated q-Bernstein Polynomials in the Case q>1

The truncated q-Bernstein polynomials Bn,m,qf;x, n∈ℕ, and  m∈ℕ0 emerge naturally when the q-Bernstein polynomials of functions vanishing in some neighbourhood of 0 are considered. In this paper, the convergence of the truncated q-polynomials on 0,1 is studied. To support the theoretical results, som...

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Bibliographic Details
Main Author: Mehmet Turan
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/126319
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