About widths of Wiener space in the \(L_ q\)-norm
type: Item
instance of: scholarly article
title: About widths of Wiener space in the \(L_ q\)-norm
zbMATH Open document ID: 0854.41032
published in: Journal of Complexity
publication date: 1997-01-27T00:00:00Z
review text: The author studies two kinds of average \(n\)-widths which describe best and best linear approximation of the Wiener space \(C\) over all \(n\)-dimensional subspaces in the \(L_q\) norm. For the case \(2\leq q< \infty\), it is proved that the \(n\)-widths \(d_n\) decrease asymptotically as \(n^{-1/2}\).
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 41A46
zbMATH DE Number: 884757
zbMATH Keywords: widths of Wiener space
zbMATH Keywords: Kolmogorov widths
zbMATH Keywords: linear widths
author: Vitaly Maiorov
reviewed by: Karel Najzar
MaRDI profile type: Publication
full work available at URL: jcom.1996.0006
OpenAlex ID: W1977080100
DOI: 10.1006/JCOM.1996.0006
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description: scientific article; zbMATH DE number 884757