On exact values of quasiwidths of some classes of functions
In the Hilbert space L 2(Δ2), Δ = [0, 2 π] we establish exact estimates of the Kolmogorov quasiwidths of some classes of periodic functions of two variables whose averaged modules of smoothness of mixed derivatives are majorizable by given functions.
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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/5327 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511547865956352 |
|---|---|
| author | Vakarchuk, S. B. Shabozov, M. Sh. Вакарчук, С. Б. Шабозов, М. Ш. Вакарчук, С. Б. Шабозов, М. Ш. |
| author_facet | Vakarchuk, S. B. Shabozov, M. Sh. Вакарчук, С. Б. Шабозов, М. Ш. Вакарчук, С. Б. Шабозов, М. Ш. |
| author_sort | Vakarchuk, S. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:30:31Z |
| description | In the Hilbert space L 2(Δ2), Δ = [0, 2 π] we establish exact estimates of the Kolmogorov quasiwidths of some classes of periodic functions of two variables whose averaged modules of smoothness of mixed derivatives are majorizable by given functions. |
| first_indexed | 2026-03-24T03:14:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5327 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:38Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a2/0bc8909deb5333a7be48c85df7dd0ea2.pdf |
| spelling | umjimathkievua-article-53272020-03-18T21:30:31Z On exact values of quasiwidths of some classes of functions О точных значениях квазипоперечников некоторых функциональных классов Vakarchuk, S. B. Shabozov, M. Sh. Вакарчук, С. Б. Шабозов, М. Ш. Вакарчук, С. Б. Шабозов, М. Ш. In the Hilbert space L 2(Δ2), Δ = [0, 2 π] we establish exact estimates of the Kolmogorov quasiwidths of some classes of periodic functions of two variables whose averaged modules of smoothness of mixed derivatives are majorizable by given functions. У гільбертовому просторі L 2(Δ2), Δ = [0, 2 π] знайдено точні оцінки колмогоровських квазіпоперечників деяких, класів періодичних функцій двох змінних, у яких усереднені модулі гладкості змішаних похідних мажоруються заданими функціями. Institute of Mathematics, NAS of Ukraine 1996-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5327 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 3 (1996); 301-308 Український математичний журнал; Том 48 № 3 (1996); 301-308 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5327/7345 https://umj.imath.kiev.ua/index.php/umj/article/view/5327/7346 Copyright (c) 1996 Vakarchuk S. B.; Shabozov M. Sh. |
| spellingShingle | Vakarchuk, S. B. Shabozov, M. Sh. Вакарчук, С. Б. Шабозов, М. Ш. Вакарчук, С. Б. Шабозов, М. Ш. On exact values of quasiwidths of some classes of functions |
| title | On exact values of quasiwidths of some classes of functions |
| title_alt | О точных значениях квазипоперечников некоторых
функциональных классов |
| title_full | On exact values of quasiwidths of some classes of functions |
| title_fullStr | On exact values of quasiwidths of some classes of functions |
| title_full_unstemmed | On exact values of quasiwidths of some classes of functions |
| title_short | On exact values of quasiwidths of some classes of functions |
| title_sort | on exact values of quasiwidths of some classes of functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5327 |
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