On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$
We consider the problem of the saturation of linear summation methods for Fourier series in the spaces $S_{\varphi} ^p,\; р > 0$. We show that the saturation of a linear method and the saturation order are independent of the parameters $X, ϕ$, and p that define the space $S_{\varphi} ^p(X)$...
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| Date: | 2004 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3736 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509870042644480 |
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| author | Shydlich, A. L. Шидліч, А. Л. |
| author_facet | Shydlich, A. L. Шидліч, А. Л. |
| author_sort | Shydlich, A. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:05:58Z |
| description | We consider the problem of the saturation of linear summation methods for Fourier series in the spaces $S_{\varphi} ^p,\; р > 0$. We show that the saturation of a linear method and the saturation order are independent of the parameters $X, ϕ$, and p that define the space $S_{\varphi} ^p(X)$. |
| first_indexed | 2026-03-24T02:47:58Z |
| format | Article |
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| id | umjimathkievua-article-3736 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:47:58Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c8/68941273fd07c2288101c976376c4dc8.pdf |
| spelling | umjimathkievua-article-37362020-03-18T20:05:58Z On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$ Про насичення лінійних методів підсумовування рядів Фур'є у просторах $S_{\varphi} ^p$ Shydlich, A. L. Шидліч, А. Л. We consider the problem of the saturation of linear summation methods for Fourier series in the spaces $S_{\varphi} ^p,\; р > 0$. We show that the saturation of a linear method and the saturation order are independent of the parameters $X, ϕ$, and p that define the space $S_{\varphi} ^p(X)$. Розглядається питання насичення лінійних методів підсумовування рядів Фур'є у просторах $S_{\varphi} ^p,\; р > 0$. Показано, що насиченість лінійного методу, а також порядок насичення не залежать від вибору параметрів $X, ϕ$, що визначають простір $S_{\varphi} ^p(X)$. Institute of Mathematics, NAS of Ukraine 2004-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3736 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 1 (2004); 133-138 Український математичний журнал; Том 56 № 1 (2004); 133-138 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3736/4196 https://umj.imath.kiev.ua/index.php/umj/article/view/3736/4197 Copyright (c) 2004 Shydlich A. L. |
| spellingShingle | Shydlich, A. L. Шидліч, А. Л. On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$ |
| title | On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$ |
| title_alt | Про насичення лінійних методів підсумовування рядів Фур'є у просторах $S_{\varphi} ^p$ |
| title_full | On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$ |
| title_fullStr | On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$ |
| title_full_unstemmed | On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$ |
| title_short | On Saturation of Linear Summation Methods for Fourier Series in the Spaces $S_{\varphi} ^p$ |
| title_sort | on saturation of linear summation methods for fourier series in the spaces $s_{\varphi} ^p$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3736 |
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