Representation and approximation of multivariate functions with mixed smoothness by hyperbolic wavelets

In this paper, we study the representation theorems of multivariate functions with mixed smoothness by wavelet basis formed by tensor products of univariate wavelets, we also study the best approximation in the L q( R d) metric for some function classes with mixed smoothness by hyperbolic wavelets a...

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Vydáno v:	Journal of mathematical analysis and applications Ročník 291; číslo 2; s. 698 - 715
Hlavní autor:	Heping, Wang
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	San Diego, CA Elsevier Inc 15.03.2004 Elsevier
Témata:	Approximations and expansions Best approximation Decomposition of functions Exact sciences and technology Functions with mixed smoothness Hyperbolic wavelets Mathematical analysis Mathematics Sciences and techniques of general use Special functions Best approximation Decomposition of functions Hyperbolic wavelets Functions with mixed smoothness Numerical approximation Wavelets Mathematical analysis Tensor product N variable function Asymptotic approximation Function approximation Function representation
ISSN:	0022-247X, 1096-0813
On-line přístup:	Získat plný text
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