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].
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October 16, 1995. Date revised: August 28, 1996.
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DeVore, R., Konyagin, S. & Temlyakov, V. Hyperbolic Wavelet Approximation. Constr. Approx. 14, 1–26 (1998). https://doi.org/10.1007/s003659900060
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DOI: https://doi.org/10.1007/s003659900060
- Key words. Hyperbolic wavelets,Multivariate wavelets,Interpolation spaces.
- .AMS Classification.
- 41A63
- 46C99.
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