Widths and distributions of values of the approximation functional on the Sobolev spaces with measure
type: Item
instance of: scholarly article
title: Widths and distributions of values of the approximation functional on the Sobolev spaces with measure
zbMATH Open document ID: 0872.41010
published in: Constructive Approximation
publication date: 1997-09-11T00:00:00Z
review text: In this paper the author calculates Kolmogorov and adaptive \((n, \varepsilon, \delta)\) -widths of the Sobolev space \(W_2^r\) equipped with a Gaussian measure in the \(L_q\) -norm. Analogous results are obtained for the unit balls \(BW_2^r\) in Sobolev spaces.
Mathematics Subject Classification ID: 41A45
Mathematics Subject Classification ID: 42A61
Mathematics Subject Classification ID: 41A46
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1019676
zbMATH Keywords: widths of classes
zbMATH Keywords: Sobolev spaces with measure
zbMATH Keywords: distribution of values of approximation functional
zbMATH Keywords: Gaussian measure
author: Vitaly Maiorov
reviewed by: Karel Najzar
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1019676