| 有限区间样条小波插值的逼近性质与它的并行算法 |
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| 引用本文： | 梁慧芳,傅凯新.有限区间样条小波插值的逼近性质与它的并行算法[J].湘潭大学自然科学学报,2004,26(3):30-33,47. |
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| 作者姓名： | 梁慧芳 傅凯新 |
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| 作者单位： | 湘潭大学数学系,湖南,湘潭,411105 |
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| 基金项目： | 国家自然科学基金，中国工程物理研究院联合基金资助项目(10376031) |
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| 摘 要： | 研究了有限区间样条小波插值函数的逼近性质，证明了三次单节点样条小波插值函数是样条小波空间中的最佳逼近函数，并利用这一结果得到了样条小波插值的并行运算格式。
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| 关 键 词： | 小波逼近 多分辨分析 样条小波 并行算法 |
| 文章编号： | 1000-5900(2004)03-0030-04 |
Approximation Properties of Spline Wavelets Interpolation On the Intervel and its' Parallel Algorithm |
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| LIANG Huifang,FU Kaixin.Approximation Properties of Spline Wavelets Interpolation On the Intervel and its'''' Parallel Algorithm[J].Natural Science Journal of Xiangtan University,2004,26(3):30-33,47. |
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| Authors: | LIANG Huifang FU Kaixin |
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| Abstract: | In this paper, we study the approximation properties of spline wavelets interpolation functionson a bounded interval. Then we have proved that the wavelets interpolation functions are exactly the best approximation functions in the space. Furthermore, by using this result, we have deduced the parallel algorithm of the decompositionof the interpolation spline wavelets. |
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| Keywords: | wavelets approximation multi-resolution analysis spline wavelets parallel algorithm |
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