ISSN:
1432-0940
Keywords:
41A17
;
41A63
;
42C15
;
46E35
;
Wavelet decomposition
;
Nonlinear approximation
;
Bernstein-type inequalities
;
Shift-invariant spaces
;
Besov spaces
;
Multivariate splines
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Wavelet decomposition and its related nonlinear approximation problem are investigated on the basis of shift-invariant spaces of functions. In particular, a Bernstein-type inequality associated with wavelet decomposition is established in such a general setting. Several examples of piecewise polynomial spaces are given to illustrate the general theory.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01198008
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