Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums
For upper bounds of the deviations of de la Vallée-Poussin sums taken over classes of functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equalities give a solution of the corresponding Kolmogorov–Nikol'ski...
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| Datum: | 2003 |
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| 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/3955 |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510086066077696 |
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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 | 2020-03-18T20:16:01Z |
| description | For upper bounds of the deviations of de la Vallée-Poussin sums taken over classes of functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equalities give a solution of the corresponding Kolmogorov–Nikol'skii problem. |
| first_indexed | 2026-03-24T02:51:24Z |
| format | Article |
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| id | umjimathkievua-article-3955 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:24Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/84/d0cf40c16caffdbf0749e05767f44284.pdf |
| spelling | umjimathkievua-article-39552020-03-18T20:16:01Z Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums Приближение суммами Валле Пуссена классов аналитических функций Rukasov, V. I. Рукасов, В. И. Рукасов, В. И. For upper bounds of the deviations of de la Vallée-Poussin sums taken over classes of functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equalities give a solution of the corresponding Kolmogorov–Nikol'skii problem. Для верхніх меж відхилень сум Валле Пуссена, взятих по класах функцій, що допускають аналітичні продовження у фіксовану смугу комплексної площини, знайдено асимптотичні рівності, які в деяких випадках забезпечують розв'язок відповідної задачі Колмогорова -Нікольського. Institute of Mathematics, NAS of Ukraine 2003-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3955 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 6 (2003); 806-816 Український математичний журнал; Том 55 № 6 (2003); 806-816 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3955/4623 https://umj.imath.kiev.ua/index.php/umj/article/view/3955/4624 Copyright (c) 2003 Rukasov V. I. |
| spellingShingle | Rukasov, V. I. Рукасов, В. И. Рукасов, В. И. Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums |
| title | Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums |
| title_alt | Приближение суммами Валле Пуссена классов аналитических функций |
| title_full | Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums |
| title_fullStr | Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums |
| title_full_unstemmed | Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums |
| title_short | Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums |
| title_sort | approximation of classes of analytic functions by de la vallée-poussin sums |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3955 |
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