Hyperbolic Wavelet Approximation |
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| Authors: | R A DeVore S V Konyagin V N Temlyakov |
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| Institution: | (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, <,lsiheader>,,,,,,<,onlinepub>,8 May, 1998 <,editor>,Editors-in-Chief: &,lsilt,a href=,,/edboard,html#chiefs&,lsigt,R,A, DeVore, E,B, Saff&,lsilt,/a&,lsigt,,,,,,<,pdfname>,14n1p1,pdf <,pdfexist>,yes <,htmlexist>,no <,htmlfexist>,no <,texexist>,yes <,sectionname>, <,/lsiheader>, |
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