Hyperbolic wavelet approximation

被引：93

作者：

DeVore, RA ^{[1
]}

Konyagin, SV

Temlyakov, VN

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

[2] Moscow MV Lomonosov State Univ, Dept OPU Mech Math, Moscow 117234, Russia

来源：

CONSTRUCTIVE APPROXIMATION | 1998年 / 14卷 / 01期

关键词：

hyperbolic wavelets; multivariate wavelets; interpolation spaces;

D O I：

10.1007/s003659900060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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].

引用

页码：1 / 26

页数：26

共 17 条

[1]

[Anonymous], CBMS REGIONAL C SERI

[2] ON COMPACTLY SUPPORTED SPLINE WAVELETS AND A DUALITY PRINCIPLE [J].

CHUI, CK ;

WANG, JZ .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 330 (02) :903-915

[3] BIORTHOGONAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].

COHEN, A ;

DAUBECHIES, I ;

FEAUVEAU, JC .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1992, 45 (05) :485-560

[4]

DAUBECHIES I, 1992, CBMS NSF REGIONAL C, V61

[5] ON THE CONSTRUCTION OF MULTIVARIATE (PRE)WAVELETS [J].

DEBOOR, C ;

DEVORE, RA ;

RON, A .

CONSTRUCTIVE APPROXIMATION, 1993, 9 (2-3) :123-166

[6]

DeVore R., 1994, MAT ZAMETKI, V56, P36

[7] COMPRESSION OF WAVELET DECOMPOSITIONS [J].

DEVORE, RA ;

JAWERTH, B ;

POPOV, V .

AMERICAN JOURNAL OF MATHEMATICS, 1992, 114 (04) :737-785

[8]

DeVore Ronald A., 1993, CONSTRUTIVE APPROXIM, V303, DOI DOI 10.1007/978-3-662-02888-9

[9]

DIESTEL J, 1984, GRADUATE SERIES MATH

[10]

FEFFERMAN C, 1972, ACTA MATH-UPPSALA, V129, P137, DOI 10.1007/BF02392215

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