On exact order estimates of N-widths of classes of functions analytic in a simply connected domain
In the spaces E q(Ω), 1 < q < ∞, introduced by Smirnov, we obtain exact order estimates of projective and spectral n-widths of the classes W r E p(Ω) and W r E p(Ω)Ф in the case where p and q are not equal. We also indicate extremal subspaces and operators for the approximative values...
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5318 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511540636024832 |
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| author | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. |
| author_facet | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. |
| author_sort | Vakarchuk, S. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:30:10Z |
| description | In the spaces E q(Ω), 1 < q < ∞, introduced by Smirnov, we obtain exact order estimates of projective and spectral n-widths of the classes W r E p(Ω) and W r E p(Ω)Ф in the case where p and q are not equal. We also indicate extremal subspaces and operators for the approximative values under consideration. |
| first_indexed | 2026-03-24T03:14:31Z |
| format | Article |
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| id | umjimathkievua-article-5318 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:31Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/db/f69e479cab4256834197885c4a1207db.pdf |
| spelling | umjimathkievua-article-53182020-03-18T21:30:10Z On exact order estimates of N-widths of classes of functions analytic in a simply connected domain О точных порядковых оценках некоторых $n$-поперечников классов функций, аналитических в односвязной области Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. In the spaces E q(Ω), 1 < q < ∞, introduced by Smirnov, we obtain exact order estimates of projective and spectral n-widths of the classes W r E p(Ω) and W r E p(Ω)Ф in the case where p and q are not equal. We also indicate extremal subspaces and operators for the approximative values under consideration. У просторах $E_q(Ω), 1 < q < ∞$ які були введені В. І. Смирновим, одержано точні порядкові оцінки проекційного та спектрального $n$-поперечників класів $ W^r E_p(Ω)$ та $W^r E_p(Ω)Ф$ при неспівпадаючих $р$ та $q$, а також вказано екстремальні підпростори та оператори для розглянутих апроксимативних величин. Institute of Mathematics, NAS of Ukraine 1996-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5318 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 4 (1996); 543-547 Український математичний журнал; Том 48 № 4 (1996); 543-547 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5318/7327 https://umj.imath.kiev.ua/index.php/umj/article/view/5318/7328 Copyright (c) 1996 Vakarchuk S. B. |
| spellingShingle | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. On exact order estimates of N-widths of classes of functions analytic in a simply connected domain |
| title | On exact order estimates of N-widths of classes of functions analytic in a simply connected domain |
| title_alt | О точных порядковых оценках некоторых $n$-поперечников классов функций, аналитических в односвязной области |
| title_full | On exact order estimates of N-widths of classes of functions analytic in a simply connected domain |
| title_fullStr | On exact order estimates of N-widths of classes of functions analytic in a simply connected domain |
| title_full_unstemmed | On exact order estimates of N-widths of classes of functions analytic in a simply connected domain |
| title_short | On exact order estimates of N-widths of classes of functions analytic in a simply connected domain |
| title_sort | on exact order estimates of n-widths of classes of functions analytic in a simply connected domain |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5318 |
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