Approximation of Continuous Functions by de la Vallée-Poussin Operators
For the upper bounds of the deviations of a function defined on the entire real line from the corresponding values of the de la Vallée-Poussin operators, we find asymptotic equalities that give a solution of the well-known Kolmogorov–Nikol'skii problem.
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| Datum: | 2003 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3915 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510048881475584 |
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| author | Rukasov, V. I. Рукасов, В. И. Рукасов, В. И. |
| author_facet | Rukasov, V. I. Рукасов, В. И. Рукасов, В. И. |
| author_sort | Rukasov, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:23Z |
| description | For the upper bounds of the deviations of a function defined on the entire real line from the corresponding values of the de la Vallée-Poussin operators, we find asymptotic equalities that give a solution of the well-known Kolmogorov–Nikol'skii problem. |
| first_indexed | 2026-03-24T02:50:48Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3915 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:50:48Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1d/f6fa3023fc1067558b9c9b6dcf411f1d.pdf |
| spelling | umjimathkievua-article-39152020-03-18T20:15:23Z Approximation of Continuous Functions by de la Vallée-Poussin Operators Приближение непрерывных функций операторами Валле Пуссена Rukasov, V. I. Рукасов, В. И. Рукасов, В. И. For the upper bounds of the deviations of a function defined on the entire real line from the corresponding values of the de la Vallée-Poussin operators, we find asymptotic equalities that give a solution of the well-known Kolmogorov–Nikol'skii problem. Для верхніх меж відхилень операторів Валле Пуссена від функцій, заданих на дійсній осі, знайдено асимптотичні рівності, які забезпечують розв'язок відомої задачі Колмогорова — Нікольського. Institute of Mathematics, NAS of Ukraine 2003-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3915 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 3 (2003); 414-424 Український математичний журнал; Том 55 № 3 (2003); 414-424 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3915/4545 https://umj.imath.kiev.ua/index.php/umj/article/view/3915/4546 Copyright (c) 2003 Rukasov V. I. |
| spellingShingle | Rukasov, V. I. Рукасов, В. И. Рукасов, В. И. Approximation of Continuous Functions by de la Vallée-Poussin Operators |
| title | Approximation of Continuous Functions by de la Vallée-Poussin Operators |
| title_alt | Приближение непрерывных функций операторами Валле Пуссена |
| title_full | Approximation of Continuous Functions by de la Vallée-Poussin Operators |
| title_fullStr | Approximation of Continuous Functions by de la Vallée-Poussin Operators |
| title_full_unstemmed | Approximation of Continuous Functions by de la Vallée-Poussin Operators |
| title_short | Approximation of Continuous Functions by de la Vallée-Poussin Operators |
| title_sort | approximation of continuous functions by de la vallée-poussin operators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3915 |
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