Dzyadyk formula for summation of double Faber series
An analog of Dzyadyk's formula is constructed for double series in Faber polynomials of two variables. By using this formula, we obtain the estimates of the convergence rate of the double Faber series, summed over rectangles and circles, in a bicylindric domain.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5648 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511877694488576 |
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| author | Tsvil', M. M. Цвиль, М. М. |
| author_facet | Tsvil', M. M. Цвиль, М. М. |
| author_sort | Tsvil', M. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:58Z |
| description | An analog of Dzyadyk's formula is constructed for double series in Faber polynomials of two variables.
By using this formula, we obtain the estimates of the convergence rate of the double Faber series, summed over rectangles and circles, in a bicylindric domain. |
| first_indexed | 2026-03-24T03:19:53Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5648 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:53Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8d/2312af383f825a092f17ccd24b23878d.pdf |
| spelling | umjimathkievua-article-56482020-03-19T09:14:58Z Dzyadyk formula for summation of double Faber series Дзядыка суммирования двойных рядов Фабера Tsvil', M. M. Цвиль, М. М. An analog of Dzyadyk's formula is constructed for double series in Faber polynomials of two variables. By using this formula, we obtain the estimates of the convergence rate of the double Faber series, summed over rectangles and circles, in a bicylindric domain. Institute of Mathematics, NAS of Ukraine 1994-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5648 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 9 (1994); 1283–1287 Український математичний журнал; Том 46 № 9 (1994); 1283–1287 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5648/7981 https://umj.imath.kiev.ua/index.php/umj/article/view/5648/7982 Copyright (c) 1994 Tsvil' M. M. |
| spellingShingle | Tsvil', M. M. Цвиль, М. М. Dzyadyk formula for summation of double Faber series |
| title | Dzyadyk formula for summation of double Faber series |
| title_alt | Дзядыка суммирования двойных рядов Фабера |
| title_full | Dzyadyk formula for summation of double Faber series |
| title_fullStr | Dzyadyk formula for summation of double Faber series |
| title_full_unstemmed | Dzyadyk formula for summation of double Faber series |
| title_short | Dzyadyk formula for summation of double Faber series |
| title_sort | dzyadyk formula for summation of double faber series |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5648 |
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