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Estimates of Alexandrov’s n-width of the compact set of c∞-smooth functions on a finite segment Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2024, Volume: 65, Number: 1, Pages: 1–10 Pages count : 10 DOI: 10.1134/S0037446624010014
Tags compact set, n-width, infinitely differentiable function, Gevrey class
Authors Belykh V.N. 1
Affiliations
1 Sobolev Institute of Mathematics

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0008

Abstract: We obtain two-sided estimates for Alexandrov’s n-width of the compact set of infinitely smooth functions boundedly embedded into the space of continuous functions on a finite segment.
Cite: Belykh V.N.
Estimates of Alexandrov’s n-width of the compact set of c∞-smooth functions on a finite segment
Siberian Mathematical Journal. 2024. V.65. N1. P.1–10. DOI: 10.1134/S0037446624010014 WOS Scopus РИНЦ РИНЦ OpenAlex
Original: Белых В.Н.
Оценки александровского n-поперечника компакта c∞-гладких функций на конечном отрезке
Сибирский математический журнал. 2024. Т.65. №1. С.3-14. DOI: 10.33048/smzh.2024.65.101 РИНЦ
Dates:
Submitted: Dec 6, 2022
Accepted: Nov 28, 2023
Published print: Feb 7, 2024
Published online: Feb 7, 2024
Identifiers:
Web of science: WOS:001158248700013
Scopus: 2-s2.0-85188335053
Elibrary: 65998401 | 67311543
OpenAlex: W4391603980
Citing:
DB Citing
OpenAlex 2
Scopus 2
Elibrary 1
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