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Analysis in Theory and Applications

, Volume 23, Issue 3, pp 243–254 | Cite as

Convergence rate for iterates of q-Bernstein polynomials

  • Xueyan XiangEmail author
  • Qian He
  • Wenshan Yang
Article

Abstract

Recently, q-Bernstein polynomials have been intensively investigated by a number of authors. Their results show that for q≠1, q-Bernstein polynomials possess of many interesting properties. In this paper, the convergence rate for iterates of both q-Bernstein polynomials and their Boolean sum are estimated. Moreover, the saturation of {B n(·,q n)} when n→∞ and convergence rate of B n (f,q;x) when fC n−1[0,1], q→∞ are also presented.

Key words

q-Bernstein operator convergence rate saturation of positive lienar operator iterates 

AMS (2000) subject classification

41A10 

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Copyright information

© Editorial Board of Analysis in Theory and Applications 2007

Authors and Affiliations

  1. 1.Department of Mathematics Physics Information and EngineeringZhejiang Normal UniversityJinhuaP. R. China

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