Wavelet approximation of periodic functions
type: Item
instance of: scholarly article
title: Wavelet approximation of periodic functions
zbMATH Open document ID: 0978.42018
published in: Journal of Approximation Theory
publication date: 2002-01-13T00:00:00Z
review text: In the paper the approximation of periodic \(L_p\) functions in wavelet spaces is investigated. Using Meyer wavelets, a Jackson-type theorem and a Bernstein-type theorem can be proved. Further, for functions possessing local regularity the rate of pointwise convergence of wavelet Fourier series is studied. The result can be extended to biorthogonal wavelet systems. Finally, also wavelet transforms generated by compactly supported scaling functions are considered.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 41A17
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 1496281
zbMATH Keywords: Meyer wavelet
zbMATH Keywords: direct and inverse theorem
zbMATH Keywords: periodic wavelet
zbMATH Keywords: pointwise convergence
author: M. Skopina
reviewed by: Gerlind Plonka
MaRDI profile type: Publication
full work available at URL: jath.1999.3434
OpenAlex ID: W2065353731
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DOI: 10.1006/JATH.1999.3434
description: scientific article; zbMATH DE number 1496281