Hyperbolic Wavelet Approximation |
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| Authors: | R. A. DeVore S. V. Konyagin V. N. Temlyakov |
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| Affiliation: | (1) Department of Mathematics University of South Carolina Columbia SC 29208 USA, US;(2) Department OPU, Mech.-Math. Moscow State University Leninskie Gory Moscow 117234 Russia, RU;(3) Department of Mathematics University of South Carolina Columbia SC 29208 USA, US |
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| 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]. October 16, 1995. Date revised: August 28, 1996. |
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| Keywords: | . Hyperbolic wavelets, Multivariate wavelets, Interpolation spaces. AMS Classification. 41A63, 46C99. 8 May, 1998 Editors-in-Chief: & lsilt a href=../edboard.html#chiefs& lsigt R.A. DeVore, E.B. Saff& lsilt /a& lsigt 14n1p1.pdf yes no no yes |
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