Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics
We continue the investigation of the approximation characteristics of the spaces $S_p^{ϕ}$ introduced earlier. In particular, we establish direct and inverse theorems on the approximation of elements of these spaces. We also determine the exact values of upper bounds of $m$-term approximations of...
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| Дата: | 2001 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2001
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4331 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510462545756160 |
|---|---|
| author | Stepanets, O. I. Степанец, А. И. Степанец, А. И. |
| author_facet | Stepanets, O. I. Степанец, А. И. Степанец, А. И. |
| author_sort | Stepanets, O. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:26:41Z |
| description | We continue the investigation of the approximation characteristics of the spaces $S_p^{ϕ}$ introduced earlier. In particular, we establish direct and inverse theorems on the approximation of elements of these spaces. We also determine the exact values of upper bounds of $m$-term approximations of $q$-ellipsoids in the spaces $S_p^{ϕ}$ in the metrics of the spaces $S_p^{ϕ}$. |
| first_indexed | 2026-03-24T02:57:23Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4331 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:57:23Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6c/cae0060ab8c34349a4944887c3dbbf6c.pdf |
| spelling | umjimathkievua-article-43312020-03-18T20:26:41Z Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics Аппроксимационные характеристики пространств $S_p^{ϕ}$ в разных метриках Stepanets, O. I. Степанец, А. И. Степанец, А. И. We continue the investigation of the approximation characteristics of the spaces $S_p^{ϕ}$ introduced earlier. In particular, we establish direct and inverse theorems on the approximation of elements of these spaces. We also determine the exact values of upper bounds of $m$-term approximations of $q$-ellipsoids in the spaces $S_p^{ϕ}$ in the metrics of the spaces $S_p^{ϕ}$. Продовжуються дослідження апроксимативних властивостей просторів $S_p^{ϕ}$, введених раніше. Зокрема, встановлено прямі та обернені теореми наближення елементів цих просторів, а також знайдено точні значення верхніх меж $m$-членних наближень $q$-еліпсоїдів у просторах $S_p^{ϕ}$ в метриках просторів $S_p^{ϕ}$. Institute of Mathematics, NAS of Ukraine 2001-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4331 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 8 (2001); 1121-1146 Український математичний журнал; Том 53 № 8 (2001); 1121-1146 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4331/5366 https://umj.imath.kiev.ua/index.php/umj/article/view/4331/5367 Copyright (c) 2001 Stepanets O. I. |
| spellingShingle | Stepanets, O. I. Степанец, А. И. Степанец, А. И. Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics |
| title | Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics |
| title_alt | Аппроксимационные характеристики пространств $S_p^{ϕ}$ в разных метриках |
| title_full | Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics |
| title_fullStr | Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics |
| title_full_unstemmed | Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics |
| title_short | Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics |
| title_sort | approximation characteristics of the spaces $s_p^{ϕ}$ in different metrics |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4331 |
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