Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums
We investigate the approximation properties of the de la Vallée-Poussin sums on the classes \(C_{\beta }^q H_{\omega }\) . We obtain asymptotic equalities that, in certain cases, guarantee the solvability of the Kolmogorov–Nikol'skii problem for the de la Vallée-Poussin sums on the class...
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4204 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510334048010240 |
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| author | Rukasov, V. I. Chaichenko, S. O. Рукасов, В. І. Чайченко, С. О. |
| author_facet | Rukasov, V. I. Chaichenko, S. O. Рукасов, В. І. Чайченко, С. О. |
| author_sort | Rukasov, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:24:06Z |
| description | We investigate the approximation properties of the de la Vallée-Poussin sums on the classes \(C_{\beta }^q H_{\omega }\) . We obtain asymptotic equalities that, in certain cases, guarantee the solvability of the Kolmogorov–Nikol'skii problem for the de la Vallée-Poussin sums on the classes \(C_{\beta }^q H_{\omega }\) . |
| first_indexed | 2026-03-24T02:55:20Z |
| format | Article |
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| id | umjimathkievua-article-4204 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:55:20Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/55/29f5f376e5d76d6487bf74c5ca2efb55.pdf |
| spelling | umjimathkievua-article-42042020-03-18T20:24:06Z Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums Наближення аналітичних періодичних функцій сумами Валле Пуссена Rukasov, V. I. Chaichenko, S. O. Рукасов, В. І. Чайченко, С. О. We investigate the approximation properties of the de la Vallée-Poussin sums on the classes \(C_{\beta }^q H_{\omega }\) . We obtain asymptotic equalities that, in certain cases, guarantee the solvability of the Kolmogorov–Nikol'skii problem for the de la Vallée-Poussin sums on the classes \(C_{\beta }^q H_{\omega }\) . Вивчаються апроксимаї ивпі властивості сум Валле Пуссепа на класах $C_{\beta }^q H_{\omega }$. Одержано асимптотичні рівності, які в деяких випадках забезпечують розв'язок задачі Колмогорова - Нікольсьсого для сум Валле Пуссена на класах $C_{\beta }^q H_{\omega }$. Institute of Mathematics, NAS of Ukraine 2002-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4204 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 12 (2002); 1653-1669 Український математичний журнал; Том 54 № 12 (2002); 1653-1669 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4204/5115 https://umj.imath.kiev.ua/index.php/umj/article/view/4204/5116 Copyright (c) 2002 Rukasov V. I.; Chaichenko S. O. |
| spellingShingle | Rukasov, V. I. Chaichenko, S. O. Рукасов, В. І. Чайченко, С. О. Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums |
| title | Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums |
| title_alt | Наближення аналітичних періодичних функцій сумами
Валле Пуссена |
| title_full | Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums |
| title_fullStr | Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums |
| title_full_unstemmed | Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums |
| title_short | Approximation of Analytic Periodic Functions by de la Vallée-Poussin Sums |
| title_sort | approximation of analytic periodic functions by de la vallée-poussin sums |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4204 |
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