Widths of Hölder-Nikol'skij classes and finite-dimensional subsets in spaces with mixed norm
type: Item
instance of: scholarly article
title: Widths of Hölder-Nikol'skij classes and finite-dimensional subsets in spaces with mixed norm
zbMATH Open document ID: 0929.46025
DOI: 10.1007/BF02308549
author: A. D. Izaak
published in: Mathematical Notes
publication date: 1997-07-14T00:00:00Z
review text: The author starts with a result close to that of his earlier paper [Math. Notes 55, No. 1, 30-36 (1994; Zbl 0879.46004)] to prove new lower and upper estimates for the Kolmogorov's \(N\)-width of a unit ball in a finite-dimensional Banach space. As a corollary he obtains an estimate of the linear \(N\)-width of the Hölder-Nikol'skij class on the \(n\)-dimensional torus.
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1028530
zbMATH Keywords: Kolmogorov's \(N\)-width
zbMATH Keywords: linear \(N\)-width
zbMATH Keywords: Hölder-Nikol'skij class
reviewed by: Jiří Rákosník
MaRDI profile type: Publication
cites work: Q3027578
cites work: Kolmogorov widths in finite-dimensional spaces with mixed norms
cites work: Linear widths of Hölder-Nikol'skij classes of periodic functions of several variables
full work available at URL: https://doi.org/10.1007/bf02308549
OpenAlex ID: W2067568332
description: scientific article; zbMATH DE number 1028530