Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$
We obtain estimates exact in order for the trigonometric widths of the Besov classes $B_{p,θ}^ r$ of periodic functions of many variables in the space $L_q$ for $1 ≤ p ≤ 2 < q < p/(p - 1)$.
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4858 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511037215735808 |
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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 |
| collection | OJS |
| datestamp_date | 2020-03-18T21:15:53Z |
| description | We obtain estimates exact in order for the trigonometric widths of the Besov classes $B_{p,θ}^ r$ of periodic functions of many variables in the space $L_q$ for $1 ≤ p ≤ 2 < q < p/(p - 1)$. |
| first_indexed | 2026-03-24T03:06:31Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4858 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:06:31Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/64/62425c0fc9637a517e734d44495add64.pdf |
| spelling | umjimathkievua-article-48582020-03-18T21:15:53Z Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$ Тригонометрические поперечники классов $B_{p,θ}^ r$ функций многих переменных в пространстве $L_q$ Romanyuk, A. S. Романюк, А. С. Романюк, А. С. We obtain estimates exact in order for the trigonometric widths of the Besov classes $B_{p,θ}^ r$ of periodic functions of many variables in the space $L_q$ for $1 ≤ p ≤ 2 < q < p/(p - 1)$. Одержані точні за порядком оцінки тригонометричних поперечників класів Бесова $B_{p,θ}^ r$ періодичних функцій багатьох змінних у просторі $L_q$ при $1 ≤ p ≤ 2 < q < p/(p - 1)$. Institute of Mathematics, NAS of Ukraine 1998-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4858 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 8 (1998); 1089-1097 Український математичний журнал; Том 50 № 8 (1998); 1089-1097 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4858/6415 https://umj.imath.kiev.ua/index.php/umj/article/view/4858/6416 Copyright (c) 1998 Romanyuk A. S. |
| spellingShingle | Romanyuk, A. S. Романюк, А. С. Романюк, А. С. Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$ |
| title | Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$ |
| title_alt | Тригонометрические поперечники классов $B_{p,θ}^ r$ функций многих переменных в пространстве $L_q$ |
| title_full | Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$ |
| title_fullStr | Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$ |
| title_full_unstemmed | Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$ |
| title_short | Trigonometric widths of the classes $B_{p,θ}^ r$ of functions of many variables in the space $L_q$ |
| title_sort | trigonometric widths of the classes $b_{p,θ}^ r$ of functions of many variables in the space $l_q$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4858 |
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