Stable summation of orthogonal series with noisy coefficients.
type: Item
instance of: scholarly article
title: Stable summation of orthogonal series with noisy coefficients.
zbMATH Open document ID: 1035.42025
author: Peter Mathé
author: Sergei V. Pereverzyev
published in: Journal of Approximation Theory
publication date: 2003-04-02T00:00:00Z
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 42A24
zbMATH DE Number: 1891499
zbMATH Keywords: orthogonal series
zbMATH Keywords: stable summation
zbMATH Keywords: Gaussian white noise
zbMATH Keywords: Haar system
MaRDI profile type: Publication
OpenAlex ID: W1981096116
cites work: Stable summation of Fourier-Haar series with approximate coefficients
cites work: Q4186801
cites work: Minimax estimation via wavelet shrinkage
cites work: Q3993061
cites work: Q5511094
cites work: Q3997990
cites work: Q3336595
cites work: Error bounds for tikhonov regularization in hilbert scales
cites work: Q5597063
cites work: Inequalities of Kolmogorov type and estimates of spline interpolation on periodic classes \(W^ m_ 2\)
cites work: Q4125663
cites work: Q4776336
cites work: Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes
DOI: 10.1006/JATH.2002.3710
description: scientific article; zbMATH DE number 1891499