| 关于Neumann-Bessel级数的线性组合算子 |
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| 引用本文： | 王淑云,何甲兴.关于Neumann-Bessel级数的线性组合算子[J].数学研究及应用,2008,28(1):156-160. |
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| 作者姓名： | 王淑云 何甲兴 |
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| 作者单位： | College of Mathematics, Jilin University, Jilin 130022, China |
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| 摘 要： | In this paper we construct a new operator Hn,r（N,B） （f; z） by means of the partial sums S（N,S） （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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| 关 键 词： | Neumann-Bessel级数 线性组合算子 核函数 最佳逼近 |
| 收稿时间： | 2005-06-01 |
| 修稿时间： | 2006-07-02 |
On a Linear Combination Operator of Neumann-Bessel Series |
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| WANG Shu-yun and HE Jia-xing.On a Linear Combination Operator of Neumann-Bessel Series[J].Journal of Mathematical Research with Applications,2008,28(1):156-160. |
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| Authors: | WANG Shu-yun and HE Jia-xing |
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| Institution: | College of Mathematics, Jilin University, Jilin 130022, China;College of Mathematics, Jilin University, Jilin 130022, China |
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| 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 $\mid z \mid=1 $ and has the best approximation order for $f(z)$ on $\mid z\mid=1.$ |
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| Keywords: | Neumann-Bessel series kernel function best approximation order uniform conver-gence |
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