On the almost-everywhere convergence of the Riesz means of double orthogonal series
We establish coefficient conditions of the classical type that guarantee the almost-everywhere summability of double orthogonal series by the Riesz methods of nonnegative order. We also prove certain equiconvergence theorems.
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| Date: | 1999 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4676 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510831740977152 |
|---|---|
| author | Andrienko, V. A. Андриенко, В. А. Андриенко, В. А. |
| author_facet | Andrienko, V. A. Андриенко, В. А. Андриенко, В. А. |
| author_sort | Andrienko, V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:21Z |
| description | We establish coefficient conditions of the classical type that guarantee the almost-everywhere summability of double orthogonal series by the Riesz methods of nonnegative order. We also prove certain equiconvergence theorems. |
| first_indexed | 2026-03-24T03:03:15Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4676 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:03:15Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/af/59582890108b3f59e92203ea2e8021af.pdf |
| spelling | umjimathkievua-article-46762020-03-18T21:11:21Z On the almost-everywhere convergence of the Riesz means of double orthogonal series О сходимости почти всюду средних Рисса двойных ортогональных рядов Andrienko, V. A. Андриенко, В. А. Андриенко, В. А. We establish coefficient conditions of the classical type that guarantee the almost-everywhere summability of double orthogonal series by the Riesz methods of nonnegative order. We also prove certain equiconvergence theorems. Наведені коефіцієнтні умови класичного типу, які забезпечують сумовність майже скрізь подвійних ортогональних рядів методами Рісса невід'ємного порядку. Встановлені також деякі теореми рівпозбіжності. Institute of Mathematics, NAS of Ukraine 1999-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4676 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 7 (1999); 867–880 Український математичний журнал; Том 51 № 7 (1999); 867–880 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4676/6054 https://umj.imath.kiev.ua/index.php/umj/article/view/4676/6055 Copyright (c) 1999 Andrienko V. A. |
| spellingShingle | Andrienko, V. A. Андриенко, В. А. Андриенко, В. А. On the almost-everywhere convergence of the Riesz means of double orthogonal series |
| title | On the almost-everywhere convergence of the Riesz means of double orthogonal series |
| title_alt | О сходимости почти всюду средних Рисса двойных ортогональных рядов |
| title_full | On the almost-everywhere convergence of the Riesz means of double orthogonal series |
| title_fullStr | On the almost-everywhere convergence of the Riesz means of double orthogonal series |
| title_full_unstemmed | On the almost-everywhere convergence of the Riesz means of double orthogonal series |
| title_short | On the almost-everywhere convergence of the Riesz means of double orthogonal series |
| title_sort | on the almost-everywhere convergence of the riesz means of double orthogonal series |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4676 |
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