Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums
We investigate the problem of the approximation of the classes $C^{{\bar \psi }} H_{\omega }$ introduced by Stepanets in 1996 by the de la Valée-Poussin sums. We obtain asymptotic equalities that give a solution of the Kolmogorov–Nikol'skii problem for the de la Valée-Poussin sums on the...
Gespeichert in:
| Datum: | 2002 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2002
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4107 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510239653101568 |
|---|---|
| author | Rukasov, V. I. Chaichenko, S. O. Рукасов, В. И. Чайченко, С. О. Рукасов, В. И. Чайченко, С. О. |
| author_facet | Rukasov, V. I. Chaichenko, S. O. Рукасов, В. И. Чайченко, С. О. Рукасов, В. И. Чайченко, С. О. |
| author_sort | Rukasov, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:32Z |
| description | We investigate the problem of the approximation of the classes $C^{{\bar \psi }} H_{\omega }$ introduced by Stepanets in 1996 by the de la Valée-Poussin sums. We obtain asymptotic equalities that give a solution of the Kolmogorov–Nikol'skii problem for the de la Valée-Poussin sums on the classes Cψ¯HωCψ¯Hω in several important cases. |
| first_indexed | 2026-03-24T02:53:50Z |
| format | Article |
| fulltext |
0105
0106
0107
0108
0109
0110
0111
0112
0113
0114
0115
|
| id | umjimathkievua-article-4107 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:53:50Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/83/40b5e104762bec751da519ac7b221a83.pdf |
| spelling | umjimathkievua-article-41072020-03-18T20:22:32Z Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums Приближение классов $C^{{\bar \psi }} H_{\omega }$ суммами Валле Пуссена Rukasov, V. I. Chaichenko, S. O. Рукасов, В. И. Чайченко, С. О. Рукасов, В. И. Чайченко, С. О. We investigate the problem of the approximation of the classes $C^{{\bar \psi }} H_{\omega }$ introduced by Stepanets in 1996 by the de la Valée-Poussin sums. We obtain asymptotic equalities that give a solution of the Kolmogorov–Nikol'skii problem for the de la Valée-Poussin sums on the classes Cψ¯HωCψ¯Hω in several important cases. Розгляпуто деякі питання наближення классів $C^{{\bar \psi }} H_{\omega }$, внедеиих О. I. Степанцем у 1996 р., сумами Валле Пуссена. Знайдено асимптотичні рівності, які в деяких випадках забезпечують розв'язок задач1 Колмогорова-Нікольського для сум Валле Пуссена на класах $C^{{\bar \psi }} H_{\omega }$. Institute of Mathematics, NAS of Ukraine 2002-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4107 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 5 (2002); 681-691 Український математичний журнал; Том 54 № 5 (2002); 681-691 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4107/4923 https://umj.imath.kiev.ua/index.php/umj/article/view/4107/4924 Copyright (c) 2002 Rukasov V. I.; Chaichenko S. O. |
| spellingShingle | Rukasov, V. I. Chaichenko, S. O. Рукасов, В. И. Чайченко, С. О. Рукасов, В. И. Чайченко, С. О. Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums |
| title | Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums |
| title_alt | Приближение классов $C^{{\bar \psi }} H_{\omega }$ суммами Валле Пуссена |
| title_full | Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums |
| title_fullStr | Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums |
| title_full_unstemmed | Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums |
| title_short | Approximation of the Classes $C^{{\bar \psi }} H_{\omega }$ by de la Vallée-Poussin Sums |
| title_sort | approximation of the classes $c^{{\bar \psi }} h_{\omega }$ by de la vallée-poussin sums |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4107 |
| work_keys_str_mv | AT rukasovvi approximationoftheclassescbarpsihomegabydelavalleepoussinsums AT chaichenkoso approximationoftheclassescbarpsihomegabydelavalleepoussinsums AT rukasovvi approximationoftheclassescbarpsihomegabydelavalleepoussinsums AT čajčenkoso approximationoftheclassescbarpsihomegabydelavalleepoussinsums AT rukasovvi approximationoftheclassescbarpsihomegabydelavalleepoussinsums AT čajčenkoso approximationoftheclassescbarpsihomegabydelavalleepoussinsums AT rukasovvi približenieklassovcbarpsihomegasummamivallepussena AT chaichenkoso približenieklassovcbarpsihomegasummamivallepussena AT rukasovvi približenieklassovcbarpsihomegasummamivallepussena AT čajčenkoso približenieklassovcbarpsihomegasummamivallepussena AT rukasovvi približenieklassovcbarpsihomegasummamivallepussena AT čajčenkoso približenieklassovcbarpsihomegasummamivallepussena |