Tree wavelet approximations with applications

doi:10.1360/04ys0173

CSpace

	Tree wavelet approximations with applications
	Xu, YS ; Zou, QS
	2005-05-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	48 期号:5 页码:680-702
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.
关键词	greedy algorithms tree wavelet approximations Besov spaces
DOI	10.1360/04ys0173
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000230472500009
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2061
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.