Estimates of Alexandrov’s -Width of the Compact Set of -Smooth Functions on a Finite Segment

We obtain two-sided estimates for Alexandrov’s  -width of the compact set of infinitely smooth functions boundedly embedded into the space of continuous functions on a finite segment.

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Bibliographic Details
Published in:Siberian mathematical journal 2024, Vol.65 (1), p.1-10
Main Author: Belykh, V. N.
Format: Article
Language:English
Subjects:
Continuity (mathematics)
Estimates
Mathematics
Mathematics and Statistics
Segments
Online Access:Get full text
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Description
Summary:We obtain two-sided estimates for Alexandrov’s  -width of the compact set of infinitely smooth functions boundedly embedded into the space of continuous functions on a finite segment.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446624010014