A robust method for accurately representing nonperiodic functions given Fourier coefficient information
type: Item
instance of: scholarly article
title: A robust method for accurately representing nonperiodic functions given Fourier coefficient information
zbMATH Open document ID: 0998.65144
DOI: 10.1016/S0377-0427(01)00518-0
author: R. K. Wright
published in: Journal of Computational and Applied Mathematics
publication date: 2002-06-24T00:00:00Z
review text: Many attempts were made to recover accurate and fast converging Fourier series representations for functions exhibiting a Gibbs phenomenon and many methods were derived in the past. Here this problem is treated from the point of view of bounds of the operators corresponding to the methods of suppressing the Gibbs oscillations. Explicit bounds are proven for the operator that corresponds to a least squares fitting of the Fourier coefficients with splines allowing for certain discontinuities.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 1758462
zbMATH Keywords: Fourier series representations
zbMATH Keywords: Gibbs oscillations
zbMATH Keywords: least squares fitting
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: splines
describes a project that uses: Maple
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1758462