Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I

We obtain order estimates for linear widths of the Besov classes \(B_{p,\theta}^r\) of periodic functions of many variables in the space L q for certain values of the parameters p and q.

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Date:2001
Main Authors: Romanyuk, A. S., Романюк, А. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4287
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Romanyuk, A. S.
Романюк, А. С.
Романюк, А. С.
author_facet Romanyuk, A. S.
Романюк, А. С.
Романюк, А. С.
author_sort Romanyuk, A. S.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-18T20:25:53Z
description We obtain order estimates for linear widths of the Besov classes \(B_{p,\theta}^r\) of periodic functions of many variables in the space L q for certain values of the parameters p and q.
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spelling umjimathkievua-article-42872020-03-18T20:25:53Z Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I Линейные поперечники классов Бесова периодических функций многих переменных. I Romanyuk, A. S. Романюк, А. С. Романюк, А. С. We obtain order estimates for linear widths of the Besov classes \(B_{p,\theta}^r\) of periodic functions of many variables in the space L q for certain values of the parameters p and q. Одержано порядкові оцінки лінійних поперечників класів Бесова \(B_{p,\theta}^r\) періодичних функцій багатьох змінних у просторі L q для деяких'значень параметрів p і q. Institute of Mathematics, NAS of Ukraine 2001-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4287 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 5 (2001); 647-661 Український математичний журнал; Том 53 № 5 (2001); 647-661 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4287/5278 https://umj.imath.kiev.ua/index.php/umj/article/view/4287/5279 Copyright (c) 2001 Romanyuk A. S.
spellingShingle Romanyuk, A. S.
Романюк, А. С.
Романюк, А. С.
Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I
title Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I
title_alt Линейные поперечники классов Бесова периодических функций многих переменных. I
title_full Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I
title_fullStr Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I
title_full_unstemmed Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I
title_short Linear Widths of the Besov Classes of Periodic Functions of Many Variables. I
title_sort linear widths of the besov classes of periodic functions of many variables. i
url https://umj.imath.kiev.ua/index.php/umj/article/view/4287
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