Widths and average widths of Sobolev classes
type: Item
instance of: scholarly article
title: Widths and average widths of Sobolev classes
zbMATH Open document ID: 1027.41033
DOI: 10.1016/S0252-9602(17)30221-7
published in: Acta Mathematica Scientia. Series B. (English Edition)
publication date: 2003-06-19T00:00:00Z
review text: Let \(W^r_{\overline p}(I^d)\) be the unit ball in the isotropic Sobolev space defined over the mixed \(L_{\overline p}= L_{p_1,\dots, p_d}\) space on \(\mathbb{R}^d\) or \(d\)-dimensional torus \(T^d\). The authors generalize the well-known results of the width of a different kind over \(L_p(I^d)\), \(1\leq p\leq\infty\), to the case of \(W^r_{\overline p}(I^d)\).
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 41A35
zbMATH DE Number: 1931035
zbMATH Keywords: multivariate function
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: width
zbMATH Keywords: average width
author: Yong-ping Liu
author: Guiqiao Xu
reviewed by: Yuri A. Brudnyi
MaRDI profile type: Publication
full work available at URL: s0252-9602(17)30221-7
OpenAlex ID: W2784321906
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description: scientific article; zbMATH DE number 1931035