On lower bounds for the widths of classes of functions defined by integral moduli of continuity
We establish lower bounds for the Kolmogorov widths d 2n-1(W r H 1 ω .L p ) and Gel’fand widths d 2n-1(W r H 1 ω .L p ) of the classes of functions W r H 1 ω with a convex integral modulus of continuity ω(t).
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4421 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510551570907136 |
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| author | Derets, E. V. Дерец, Е. В. Дерец, Е. В. |
| author_facet | Derets, E. V. Дерец, Е. В. Дерец, Е. В. |
| author_sort | Derets, E. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:28:54Z |
| description | We establish lower bounds for the Kolmogorov widths d 2n-1(W r H 1 ω .L p ) and Gel’fand widths d 2n-1(W r H 1 ω .L p ) of the classes of functions W r H 1 ω with a convex integral modulus of continuity ω(t). |
| first_indexed | 2026-03-24T02:58:48Z |
| format | Article |
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| id | umjimathkievua-article-4421 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:48Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/85/26a74e719f4e76d18c4c519902188c85.pdf |
| spelling | umjimathkievua-article-44212020-03-18T20:28:54Z On lower bounds for the widths of classes of functions defined by integral moduli of continuity Об оценках снизу поперечников классов функций, определяемых интегральным модулем непрерывности Derets, E. V. Дерец, Е. В. Дерец, Е. В. We establish lower bounds for the Kolmogorov widths d 2n-1(W r H 1 ω .L p ) and Gel’fand widths d 2n-1(W r H 1 ω .L p ) of the classes of functions W r H 1 ω with a convex integral modulus of continuity ω(t). Одержано оцінки знизу поперечників Колмогорова $d^{2n-1}(W^r H_1^ω .L_p )$ та поперечників Гельфанда $d^{2n-1}(W^r H_1^ω .L_p )$ класів функцій $W^rH_1^ω $ з опуклим інтегральним модулем неперервності $ω(t)$. Institute of Mathematics, NAS of Ukraine 2000-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4421 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 3 (2000); 319-328 Український математичний журнал; Том 52 № 3 (2000); 319-328 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4421/5546 https://umj.imath.kiev.ua/index.php/umj/article/view/4421/5547 Copyright (c) 2000 Derets E. V. |
| spellingShingle | Derets, E. V. Дерец, Е. В. Дерец, Е. В. On lower bounds for the widths of classes of functions defined by integral moduli of continuity |
| title | On lower bounds for the widths of classes of functions defined by integral moduli of continuity |
| title_alt | Об оценках снизу поперечников классов функций, определяемых интегральным модулем непрерывности |
| title_full | On lower bounds for the widths of classes of functions defined by integral moduli of continuity |
| title_fullStr | On lower bounds for the widths of classes of functions defined by integral moduli of continuity |
| title_full_unstemmed | On lower bounds for the widths of classes of functions defined by integral moduli of continuity |
| title_short | On lower bounds for the widths of classes of functions defined by integral moduli of continuity |
| title_sort | on lower bounds for the widths of classes of functions defined by integral moduli of continuity |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4421 |
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