Approximation of functions from the Sobolev space by algebraic polynomials
A theorem that asserts the simultaneous approximation of functions and their derivatives by means of algebraic polynomials is established for the Sobolev spaces ω∞r(Ω).
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| Дата: | 1992 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1992
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7956 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512826793132032 |
|---|---|
| author | Konovalov , V. N. Коновалов , В. Н. |
| author_facet | Konovalov , V. N. Коновалов , В. Н. |
| author_sort | Konovalov , V. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-01T10:43:23Z |
| description | A theorem that asserts the simultaneous approximation of functions and their derivatives by means of algebraic polynomials is established for the Sobolev spaces ω∞r(Ω). |
| first_indexed | 2026-03-24T03:34:58Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-7956 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:34:58Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/89/6c282f5764fa03fc970cba2b899ee789.pdf |
| spelling | umjimathkievua-article-79562023-12-01T10:43:23Z Approximation of functions from the Sobolev space by algebraic polynomials Приближение алгебраическими многочленами функций из пространств Соболева Konovalov , V. N. Коновалов , В. Н. A theorem that asserts the simultaneous approximation of functions and their derivatives by means of algebraic polynomials is established for the Sobolev spaces ω∞r(Ω). Для пространств Соболева ω∞r(Ω) установлена теорема о совместном приближении алгебраи" ческими многочленами функций и их производных. Для просторів Соболева ω∞r(Ω) встановлена теорема про спільне наближення алгебраїчними многочленами функцій та їх похідних. Institute of Mathematics, NAS of Ukraine 1992-05-26 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7956 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 5 (1992); 613-617 Український математичний журнал; Том 44 № 5 (1992); 613-617 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7956/9548 Copyright (c) 1992 V. N. Konovalov |
| spellingShingle | Konovalov , V. N. Коновалов , В. Н. Approximation of functions from the Sobolev space by algebraic polynomials |
| title | Approximation of functions from the Sobolev space by algebraic polynomials |
| title_alt | Приближение алгебраическими многочленами функций из пространств Соболева |
| title_full | Approximation of functions from the Sobolev space by algebraic polynomials |
| title_fullStr | Approximation of functions from the Sobolev space by algebraic polynomials |
| title_full_unstemmed | Approximation of functions from the Sobolev space by algebraic polynomials |
| title_short | Approximation of functions from the Sobolev space by algebraic polynomials |
| title_sort | approximation of functions from the sobolev space by algebraic polynomials |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7956 |
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