Average widths fo Sobolev-Wiener classes with mixed smoothness in \(L_q(\mathbb{R}^d)\)
type: Item
instance of: scholarly article
title: Average widths fo Sobolev-Wiener classes with mixed smoothness in \(L_q(\mathbb{R}^d)\)
zbMATH Open document ID: 0993.41014
author: Heping Wang
publication date: 2001-09-27T00:00:00Z
review text: The author proves a theorem on the asymptotic behavior of the average Kolmogorov \(\sigma\)-width of the Sobolev-Wiener class \(S^r_{pq}W\) with mixed smoothness in \(L_q(\mathbb{R}^d)\), where \(1<q\leq p<\infty\) and \(r\in \mathbb{N}^d\).
reviewed by: Wolfgang W. Breckner
Mathematics Subject Classification ID: 41A46
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1652796
MaRDI profile type: Publication
full work available at URL: s101149900009
OpenAlex ID: W2092213221
cites work: Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
cites work: Average widths of Sobolev classes on \(\mathbb{R}^ n\)
cites work: Q4716372
cites work: Q3351923
DOI: 10.1007/S101149900009
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 1652796