Tree wavelet approximations with applications
文献类型：期刊论文
| 作者 | Xu, YS; Zou, QS |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2005-05-01 |
| 卷号 | 48期号:5页码:680-702 |
| 关键词 | greedy algorithms tree wavelet approximations Besov spaces |
| ISSN号 | 1006-9283 |
| DOI | 10.1360/04ys0173 |
| 英文摘要 | We construct a tree wavelet approximation by using a constructive greedy scheme (CGS). We define a function class which contains the functions whose piecewise polynomial approximations generated by the CGS have a prescribed global convergence rate and establish embedding properties of this class. We provide sufficient conditions on a tree index set and on bi-orthogonal wavelet bases which ensure optimal order of convergence for the wavelet approximations encoded on the tree index set using the bi-orthogonal wavelet bases. We then show that if we use the tree index set associated with the partition generated by the CGS to encode a wavelet approximation, it gives optimal order of convergence. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000230472500009 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2060]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Zhongshan Univ, Dept Sci Comp & Comp Sci, Guangzhou 510275, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, YS,Zou, QS. Tree wavelet approximations with applications[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2005,48(5):680-702. |
| APA | Xu, YS,&Zou, QS.(2005).Tree wavelet approximations with applications.SCIENCE IN CHINA SERIES A-MATHEMATICS,48(5),680-702. |
| MLA | Xu, YS,et al."Tree wavelet approximations with applications".SCIENCE IN CHINA SERIES A-MATHEMATICS 48.5(2005):680-702. |
入库方式： OAI收割
来源：数学与系统科学研究院
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