Hyperbolic Wavelet Approximation
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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].
author list (cited authors)
DeVore, R. A., Konyagin, S. V., & Temlyakov, V. N.