Hyperbolic Wavelet Approximation

被引：0
|
作者：
R. A. DeVore
S. V. Konyagin
V. N. Temlyakov
机构：
[1] Department of Mathematics University of South Carolina Columbia SC 29208 USA,
[2] Department OPU,undefined
[3] Mech.-Math. Moscow State University Leninskie Gory Moscow 117234 Russia,undefined
[4] Department of Mathematics University of South Carolina Columbia SC 29208 USA,undefined
来源：
Constructive Approximation | 1998年 / 14卷
关键词：
Key words. Hyperbolic wavelets,Multivariate wavelets,Interpolation spaces.; .AMS Classification.; 41A63; 46C99.; <lsiheader>; <onlinepub>8 May,1998 ; <editor>Editors-in-Chief:; &lsilt;a href=../edboard.html#chiefs&lsigt;R.A. DeVore; E.B.Saff&lsilt;/a&lsigt; <pdfname>14n1p1.; pdf <pdfexist>yes <htmlexist>no <htmlfexist>no <texexist>yes <sectionname> </lsiheader>;
D O I：
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中图分类号：
学科分类号：
摘要：
We study the multivariate approximation by certain partial sums (hyperbolic wavelet sums) of wavelet bases formed by tensor products of univariate wavelets. We characterize spaces of functions which have a prescribed approximation error by hyperbolic wavelet sums in terms of a K -functional and interpolation spaces. The results parallel those for hyperbolic trigonometric cross approximation of periodic functions [DPT].
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页码：1 / 26
页数：25
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