Kolmogorov widths of an intersection of a family of balls in a mixed norm

In this paper, order estimates for the Kolmogorov n-widths of an intersection of a family of balls in a mixed norm in the space lq,σm,k with 2⩽q,σ<∞, n⩽mk/2 are obtained.

Saved in:

Bibliographic Details
Published in:	Journal of approximation theory Vol. 301; p. 106046
Main Author:	Vasil’eva, A.A.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-08-2024
Subjects:	Intersection of finite-dimensional balls Kolmogorov widths Mixed norms Intersection of finite-dimensional balls Kolmogorov widths Mixed norms
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	In this paper, order estimates for the Kolmogorov n-widths of an intersection of a family of balls in a mixed norm in the space lq,σm,k with 2⩽q,σ<∞, n⩽mk/2 are obtained.
ISSN:	0021-9045 1096-0430
DOI:	10.1016/j.jat.2024.106046