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The convergence of q -Bernstein polynomials (0 q < 1) in the complex plane

✍ Scribed by Sofiya Ostrovska

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 122 KB
Volume: 282
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200610735

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✦ Synopsis

Abstract

The paper focuses at the estimates for the rate of convergence of the q ‐Bernstein polynomials (0 < q < 1) in the complex plane. In particular, a generalization of previously known results on the possibility of analytic continuation of the limit function and an elaboration of the theorem by Wang and Meng is presented (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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