| 关于q-Bernstein多项式的加速问题 |
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| 引用本文： | 云连英,项雪艳,王慧. 关于q-Bernstein多项式的加速问题[J]. 数学季刊, 2008, 23(2) |
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| 作者姓名： | 云连英 项雪艳 王慧 |
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| 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) |
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| 摘 要： |
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| 关 键 词： | q-Bernstein多项式 加速问题 解题方法 数学分析 |
On the Acceleration Problem of q-Bernstein Polynomials |
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| YUN Lian-ying,XIANG Xue-yan,WANG Hui. On the Acceleration Problem of q-Bernstein Polynomials[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2) |
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| Authors: | YUN Lian-ying XIANG Xue-yan WANG Hui |
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| Affiliation: | [1]Department of Computer Engineering, Taizhou Vocational Technical College, Taizhou 318000, China [2]Department of Mathematics and Physics, Lishui University, Lishui 323000, China [3]Henan University Press, Kaifeng 475001, China |
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| Abstract: | 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. |
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| Keywords: | q-Bernstein polynomial acceleration iterated Boolean sum convergence rate |
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