| 对|x|的有理逼近分析 |
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| 引用本文： | 田漪,蒋艳杰. 对|x|的有理逼近分析[J]. 河北师范大学学报(自然科学版), 2007, 31(1): 21-23 |
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| 作者姓名： | 田漪 蒋艳杰 |
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| 作者单位： | 华北电力大学,应用数学系,河北,保定,071003;华北电力大学,应用数学系,河北,保定,071003 |
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| 摘 要： | 对非光滑函数|x|用有理函数rn(X;x)的插值逼近进行了研究,说明插值结点组在零点附近的分布与插值函数rn(X;x)逼近|x|的收敛速度没有直接关系.
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| 关 键 词： | 有理函数 插值 逼近 结点 收敛 发散 |
| 文章编号： | 1000-5854(2007)01-0021-03 |
| 修稿时间： | 2006-01-05 |
The Analysis of the Rational Approximation on |x| |
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| TIAN Yi,JIANG Yan-jie. The Analysis of the Rational Approximation on |x|[J]. Journal of Hebei Normal University, 2007, 31(1): 21-23 |
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| Authors: | TIAN Yi JIANG Yan-jie |
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| Affiliation: | Department of Applied Mathematics,North China Electric Power University,Hebei Baoding 071003,China |
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| Abstract: | The rational approximation of unsmoothed function |x| is discussed,and it is proved that there is no relation between the distribution of the nodes around zero and the convergence of r_n(X;x) to (|x|.) |
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| Keywords: | rational function interpolation approximation nodes convergence divergence |
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