| 小波投影算子在Sobolev空间中的逼近性 |
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| 引用本文： | 赵军健,薛燕琴,杨建伟.小波投影算子在Sobolev空间中的逼近性[J].河南科学,2010,28(3):266-270. |
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| 作者姓名： | 赵军健 薛燕琴 杨建伟 |
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| 作者单位： | 北京工业大学,应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金资助项目，北京工业大学第一届博士生创新计划基金项目 |
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| 摘 要： | 为了使多分辨率分析下的小波构成Sobolev空间的基,对于投影算子的逼近性估计是重要的.利用等价范数定理,给出了相应的逼近性估计,这与已知的结果是不同的1].最后给出两个投影算子的例子,说明此逼近方法具有普遍适用性.
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| 关 键 词： | 小波 投影算子 Sobolev空间 逼近性 |
The Approximation in Sobolev Spaces by Wavelets Projection Operators |
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| Zhao Junjian,Xue Yanqin,Yang Jianwei.The Approximation in Sobolev Spaces by Wavelets Projection Operators[J].Henan Science,2010,28(3):266-270. |
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| Authors: | Zhao Junjian Xue Yanqin Yang Jianwei |
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| Institution: | (College of Applied Sciences, Beijing University of Technology, Beijing 100124, China) |
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| Abstract: | To construct wavelets bases in Sobolev spaces by using multiresolution analysis, it is essential to study the approximation property of projection operators. In this paper, making use of the equivalent norms,the relevant approximation is estimated, which is not the same as before. Two examples are showed at the end ofthis paper, hich is a proof of universal applicability under this method. |
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| Keywords: | wavelets projection operators Sobolev spaces approximation |
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