Approximation of Poisson Integrals by de la Vallée Poussin Sums
On the classes of Poisson integrals of functions belonging to unit balls in the spaces C and L, we obtain asymptotic equalities for the upper bounds of approximations by de la Vallée Poussin sums in the uniform metric and the integral metric, respectively.
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| Date: | 2004 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3731 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509864254504960 |
|---|---|
| author | Serdyuk, A. S. Сердюк, А. С. |
| author_facet | Serdyuk, A. S. Сердюк, А. С. |
| author_sort | Serdyuk, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:05:58Z |
| description | On the classes of Poisson integrals of functions belonging to unit balls in the spaces C and L, we obtain asymptotic equalities for the upper bounds of approximations by de la Vallée Poussin sums in the uniform metric and the integral metric, respectively. |
| first_indexed | 2026-03-24T02:47:52Z |
| format | Article |
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| id | umjimathkievua-article-3731 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:47:52Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d6/0e667552afb9aeb9a5794b52cfa129d6.pdf |
| spelling | umjimathkievua-article-37312020-03-18T20:05:58Z Approximation of Poisson Integrals by de la Vallée Poussin Sums Наближення інтегралів Пуассона сумами Валле Пуссена Serdyuk, A. S. Сердюк, А. С. On the classes of Poisson integrals of functions belonging to unit balls in the spaces C and L, we obtain asymptotic equalities for the upper bounds of approximations by de la Vallée Poussin sums in the uniform metric and the integral metric, respectively. На класах інтегралі» Пуассона функцій, що належать одиничним кулям просторів C або L, знайдено асимптотичні рівності для верхніх меж наближень сумами Балле Пуссена в рівномірній та інтегральній метриках відповідно. Institute of Mathematics, NAS of Ukraine 2004-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3731 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 1 (2004); 97-107 Український математичний журнал; Том 56 № 1 (2004); 97-107 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3731/4186 https://umj.imath.kiev.ua/index.php/umj/article/view/3731/4187 Copyright (c) 2004 Serdyuk A. S. |
| spellingShingle | Serdyuk, A. S. Сердюк, А. С. Approximation of Poisson Integrals by de la Vallée Poussin Sums |
| title | Approximation of Poisson Integrals by de la Vallée Poussin Sums |
| title_alt | Наближення інтегралів Пуассона сумами Валле Пуссена |
| title_full | Approximation of Poisson Integrals by de la Vallée Poussin Sums |
| title_fullStr | Approximation of Poisson Integrals by de la Vallée Poussin Sums |
| title_full_unstemmed | Approximation of Poisson Integrals by de la Vallée Poussin Sums |
| title_short | Approximation of Poisson Integrals by de la Vallée Poussin Sums |
| title_sort | approximation of poisson integrals by de la vallée poussin sums |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3731 |
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