论文信息 - Hyperbolic Wavelet Approximation

Hyperbolic Wavelet Approximation

Abstract. 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].

R. DeVore | V. Temlyakov | S. Konyagin

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