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关于q-Bernstein多项式及其Boole和迭代
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作者 云连英 《应用数学》 CSCD 北大核心 2008年第3期524-528,共5页
本文对q-Bernstein多项式Bn(f,q,x)收敛于B∞(f,q,x)的加速问题进行研究,同时对其Boolean和迭代的收敛性问题进行考虑.采用精细估计,并应用光滑模理论等手段,得到相应的逼近速度估计.结果表明:q-Bernstein多项式在这两个问题上与传统Ber... 本文对q-Bernstein多项式Bn(f,q,x)收敛于B∞(f,q,x)的加速问题进行研究,同时对其Boolean和迭代的收敛性问题进行考虑.采用精细估计,并应用光滑模理论等手段,得到相应的逼近速度估计.结果表明:q-Bernstein多项式在这两个问题上与传统Bernstein多项式有着类似的结果. 展开更多
关键词 q-Bernstein多项式.加速 boolean和迭代 收敛速度
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On the Acceleration Problem of q-Bernstein Polynomials 被引量:1
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作者 YUN Lian-ying XIANG Xue-yan WANG Hui 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第2期252-259,共8页
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 estima... 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. 展开更多
关键词 q-Bernstein polynomial ACCELERATION iterated boolean sum convergence rate
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