On the Convergence of Fourier Series in the Space $L_1$
We establish necessary and sufficient conditions for the convergence in the mean of trigonometric series whose coefficients satisfy the Boas–Telyakovskii conditions.
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4102 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510233799950336 |
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| author | Zaderei, P. V. Smal, ' B. A. Задерей, П. В. Смаль, Б. А. Задерей, П. В. Смаль, Б. А. |
| author_facet | Zaderei, P. V. Smal, ' B. A. Задерей, П. В. Смаль, Б. А. Задерей, П. В. Смаль, Б. А. |
| author_sort | Zaderei, P. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:32Z |
| description | We establish necessary and sufficient conditions for the convergence in the mean of trigonometric series whose coefficients satisfy the Boas–Telyakovskii conditions. |
| first_indexed | 2026-03-24T02:53:45Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4102 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:53:45Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/90/51e5b1a3afdd9f448818c58434ddf690.pdf |
| spelling | umjimathkievua-article-41022020-03-18T20:22:32Z On the Convergence of Fourier Series in the Space $L_1$ О сходимости в пространстве $L_1$ рядов Фурье Zaderei, P. V. Smal, ' B. A. Задерей, П. В. Смаль, Б. А. Задерей, П. В. Смаль, Б. А. We establish necessary and sufficient conditions for the convergence in the mean of trigonometric series whose coefficients satisfy the Boas–Telyakovskii conditions. Одержано необхідні та достатні умови збіжності в середньому тригонометричних рядів, коефіцієнти яких задовольняють умови Боаса -Теляковського. Institute of Mathematics, NAS of Ukraine 2002-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4102 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 5 (2002); 639-646 Український математичний журнал; Том 54 № 5 (2002); 639-646 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4102/4913 https://umj.imath.kiev.ua/index.php/umj/article/view/4102/4914 Copyright (c) 2002 Zaderei P. V.; Smal ' B. A. |
| spellingShingle | Zaderei, P. V. Smal, ' B. A. Задерей, П. В. Смаль, Б. А. Задерей, П. В. Смаль, Б. А. On the Convergence of Fourier Series in the Space $L_1$ |
| title | On the Convergence of Fourier Series in the Space $L_1$ |
| title_alt | О сходимости в пространстве $L_1$ рядов Фурье |
| title_full | On the Convergence of Fourier Series in the Space $L_1$ |
| title_fullStr | On the Convergence of Fourier Series in the Space $L_1$ |
| title_full_unstemmed | On the Convergence of Fourier Series in the Space $L_1$ |
| title_short | On the Convergence of Fourier Series in the Space $L_1$ |
| title_sort | on the convergence of fourier series in the space $l_1$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4102 |
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