q-Bernstein多项式的加速问题

关于q-Bernstein多项式的加速问题

In this paper,we investigate not only the acceleration problem of the q-Bernstein polynomials Bn(f,q;x)to B∞(f,q;x)but also the convergence of their iterated Boolean sum.Using the methods of exact estimate and theories of modulus of smoothness,we get the respective estimates of the convergence rate,which suggest that q-Bernstein polynomials have the similar answer with the classical Bernstein polynomials to these two problems.

作 者： 云连英 项雪艳 王慧 YUN Lian-ying XIANG Xue-yan WANG Hui   作者单位： 云连英,YUN Lian-ying(Department of Computer Engineering,Taizhou Vocational Technical College,Taizhou 318000,China)

项雪艳,XIANG Xue-yan(Department of Mathematics and Physics,Lishui University,Lishui 323000,China)

王慧,WANG Hui(Henan University Press,Kaifeng 475001,China) 

刊 名： 数学季刊（英文版）  ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年，卷(期)： 2008 23(2)  分类号： O174.41  关键词： q-Bernstein polynomial   acceleration   iterated Boolean sum   convergence rate  

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