Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces
We establish estimates for classic approximation quantities for sets from functional spaces (classes of functions analytic in Jordan domains), namely, for the best polynomial approximations and Kolmogorov widths.
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| Дата: | 1999 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1999
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4651 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510808240291840 |
|---|---|
| author | Romanyuk, V. S. Романюк, В. С. Романюк, В. С. |
| author_facet | Romanyuk, V. S. Романюк, В. С. Романюк, В. С. |
| author_sort | Romanyuk, V. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:10:38Z |
| description | We establish estimates for classic approximation quantities for sets from functional spaces (classes of functions analytic in Jordan domains), namely, for the best polynomial approximations and Kolmogorov widths. |
| first_indexed | 2026-03-24T03:02:53Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4651 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:53Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/78/71c09071a1b9bb4804bb2a38bc587b78.pdf |
| spelling | umjimathkievua-article-46512020-03-18T21:10:38Z Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces Приближение в среднем с весом классов аналитических функций алгебраическими полиномами и конечномерными подпространствами Romanyuk, V. S. Романюк, В. С. Романюк, В. С. We establish estimates for classic approximation quantities for sets from functional spaces (classes of functions analytic in Jordan domains), namely, for the best polynomial approximations and Kolmogorov widths. Всі аионлепо оцінки класичних апроксимаційних величин для множин із функціональних просторів (класів аналітичних и жорданових областях функцій) — величини найкращого поліноміального наближення і колмогоровських поперечників. Institute of Mathematics, NAS of Ukraine 1999-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4651 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 5 (1999); 645–662 Український математичний журнал; Том 51 № 5 (1999); 645–662 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4651/6004 https://umj.imath.kiev.ua/index.php/umj/article/view/4651/6005 Copyright (c) 1999 Romanyuk V. S. |
| spellingShingle | Romanyuk, V. S. Романюк, В. С. Романюк, В. С. Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces |
| title | Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces |
| title_alt | Приближение в среднем с весом классов аналитических функций алгебраическими полиномами и конечномерными подпространствами |
| title_full | Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces |
| title_fullStr | Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces |
| title_full_unstemmed | Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces |
| title_short | Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces |
| title_sort | weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4651 |
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