DeVore, Ronald A.; Jawerth, Björn; Popov, Vasil Compression of wavelet decompositions. (English) Zbl 0764.41024 Am. J. Math. 114, No. 4, 737-785 (1992). Summary: We characterize functions with a given degree of nonlinear approximation by linear combinations with \(n\) terms of a function \(\varphi\), its dilates and their translates. This gives a unified viewpoint of recent results on nonlinear approximation by spline functions and give their extension to functions of several variables. Our approach is formulated in terms of wavelet decompositions. Cited in 5 ReviewsCited in 123 Documents MSC: 41A45 Approximation by arbitrary linear expressions 42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems Keywords:wavelet decompositions PDF BibTeX XML Cite \textit{R. A. DeVore} et al., Am. J. Math. 114, No. 4, 737--785 (1992; Zbl 0764.41024) Full Text: DOI OpenURL