Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables
We obtain exact order estimates for the trigonometric widths of the classes BΩp,θBp,θΩ of periodic functions of many variables in the space $L_{q, 1}\; < p ≤ 2 ≤ q < p/(p − 1)$.
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4109 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510244106403840 |
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| author | Stasyuk, S. A. Стасюк, С. А. |
| author_facet | Stasyuk, S. A. Стасюк, С. А. |
| author_sort | Stasyuk, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:32Z |
| description | We obtain exact order estimates for the trigonometric widths of the classes BΩp,θBp,θΩ of periodic functions of many variables in the space $L_{q, 1}\; < p ≤ 2 ≤ q < p/(p − 1)$. |
| first_indexed | 2026-03-24T02:53:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4109 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:53:55Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/aa/e1cafe10d9b211bbde84bef4e02293aa.pdf |
| spelling | umjimathkievua-article-41092020-03-18T20:22:32Z Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables Тригонометричні поперечники класів $B_{p,θ}^{Ω}$ періодичних функцій багатьох змінних Stasyuk, S. A. Стасюк, С. А. We obtain exact order estimates for the trigonometric widths of the classes BΩp,θBp,θΩ of periodic functions of many variables in the space $L_{q, 1}\; < p ≤ 2 ≤ q < p/(p − 1)$. Одержано точні порядкові оцінки тригонометричних поперечників класів $B_{p,θ}^{Ω}$ періодичних функцій багатьох змінних у просторі $L_{q, 1}\; < p ≤ 2 ≤ q < p/(p − 1)$. Institute of Mathematics, NAS of Ukraine 2002-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4109 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 5 (2002); 700-705 Український математичний журнал; Том 54 № 5 (2002); 700-705 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4109/4927 https://umj.imath.kiev.ua/index.php/umj/article/view/4109/4928 Copyright (c) 2002 Stasyuk S. A. |
| spellingShingle | Stasyuk, S. A. Стасюк, С. А. Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables |
| title | Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables |
| title_alt | Тригонометричні поперечники класів $B_{p,θ}^{Ω}$ періодичних функцій багатьох змінних |
| title_full | Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables |
| title_fullStr | Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables |
| title_full_unstemmed | Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables |
| title_short | Trigonometric Widths of the Classes $B_{p,θ}^{Ω}$ of Periodic Functions of Many Variables |
| title_sort | trigonometric widths of the classes $b_{p,θ}^{ω}$ of periodic functions of many variables |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4109 |
| work_keys_str_mv | AT stasyuksa trigonometricwidthsoftheclassesbpthōofperiodicfunctionsofmanyvariables AT stasûksa trigonometricwidthsoftheclassesbpthōofperiodicfunctionsofmanyvariables AT stasyuksa trigonometričnípoperečnikiklasívbpthōperíodičnihfunkcíjbagatʹohzmínnih AT stasûksa trigonometričnípoperečnikiklasívbpthōperíodičnihfunkcíjbagatʹohzmínnih |