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Anisotropic Wavelet Bases and Restricted Nonlinear Approximation
Author(s) -
Hochmuth Reinhard
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310494
Subject(s) - nonlinear system , generalization , mathematics , wavelet , term (time) , rate of convergence , linear approximation , approximation theory , function approximation , mathematical analysis , convergence (economics) , physics , computer science , quantum mechanics , artificial neural network , artificial intelligence , economics , economic growth , computer network , channel (broadcasting) , machine learning
Restricted nonlinear approximation is a generalization of n‐term approximation in which a weight function is used to control the terms of the approximant. Here, restricted nonlinear approximation is considered with respect to anisotropic wavelet bases. In particular, characterizations for those functions, which provide a specific convergence rate by restricted nonlinear approximation, are presented.