On the points of strong summabiity of the Fourier series
The points of a function f ∈ L at which there are given estimates of the rate of convergence to zero of the strong arithmetic means of its Fourier series and the trigonometrically conjugate series are characterized.
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8030 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512875718639616 |
|---|---|
| author | Gabisoniya , O. D. Габисония , О. Д. |
| author_facet | Gabisoniya , O. D. Габисония , О. Д. |
| author_sort | Gabisoniya , O. D. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-28T09:25:14Z |
| description | The points of a function f ∈ L at which there are given estimates of the rate of convergence to zero of the strong arithmetic means of its Fourier series and the trigonometrically conjugate series are characterized. |
| first_indexed | 2026-03-24T03:35:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8030 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:35:44Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b4/e42f7bfd9e6fdd47dcc12ff7f0c8b5b4.pdf |
| spelling | umjimathkievua-article-80302023-12-28T09:25:14Z On the points of strong summabiity of the Fourier series О точках сильной суммируемости рядов Фурье Gabisoniya , O. D. Габисония , О. Д. The points of a function f ∈ L at which there are given estimates of the rate of convergence to zero of the strong arithmetic means of its Fourier series and the trigonometrically conjugate series are characterized. Найдены характеристики точек функции f ∈ L, в которых даны оценки скорости стремления к нулю сильных средних арифметических ее ряда Фурье и тригонометрически сопряженного ряда. Знайдені характеристики точок функції f ∈ L, в яких дано оцінки швидкості прямування до нуля сильних середніх арифметичних її ряду Фур’є і тригонометрично спряженого ряду. Institute of Mathematics, NAS of Ukraine 1992-09-08 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8030 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 8 (1992); 1020-1031 Український математичний журнал; Том 44 № 8 (1992); 1020-1031 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8030/9593 Copyright (c) 1992 O. D. Gabisoniya |
| spellingShingle | Gabisoniya , O. D. Габисония , О. Д. On the points of strong summabiity of the Fourier series |
| title | On the points of strong summabiity of the Fourier series |
| title_alt | О точках сильной суммируемости рядов Фурье |
| title_full | On the points of strong summabiity of the Fourier series |
| title_fullStr | On the points of strong summabiity of the Fourier series |
| title_full_unstemmed | On the points of strong summabiity of the Fourier series |
| title_short | On the points of strong summabiity of the Fourier series |
| title_sort | on the points of strong summabiity of the fourier series |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8030 |
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