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| 关于Neumann-Bessel级数的线性组合算子 | |
| 引用本文： | 王淑云,何甲兴. 关于Neumann-Bessel级数的线性组合算子[J]. 数学研究与评论, 2008, 28(1) |
| 作者姓名： | 王淑云 何甲兴 |
| 摘 要： | |
| 关 键 词： | Neumann-Bessel series kernel function best approximation order uniform convergence 级数 线性 组合算子 Series Operator the best approximation order unit circle fixed continuous function series means partial paper construct operator |
On a Linear Combination Operator of Neumann-Bessel Series |
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| WANG Shu-yun,HE Jia-xing. On a Linear Combination Operator of Neumann-Bessel Series[J]. Journal of Mathematical Research and Exposition, 2008, 28(1) | |
| Authors: | WANG Shu-yun HE Jia-xing |
| Abstract: | In this paper we construct a new operator H(N,B)n,r(f;z) by means of the partial sums S(N,B)n(f;z) of Neumann-Bessel series.The operator converges uniformly to any fixed continuous function f(z) on the unit circle |z|= 1 and has the best approximation order for f(z) on |z|= 1. |
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