Approximation of double Walsh–Fourier series by means of the matrix transform
UDC 517.5 We discuss the rate of approximation of partial sums of the  double Walsh–Fourier series in the spaces $L^p(G^2),$ $1\leq p <\infty,$ and  $C(G^2)$  by the matrix transform.
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| Date: | 2024 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7397 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512666910457856 |
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| author | Blahota, István Blahota, István |
| author_facet | Blahota, István Blahota, István |
| author_sort | Blahota, István |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-22T08:15:08Z |
| description | UDC 517.5
We discuss the rate of approximation of partial sums of the  double Walsh–Fourier series in the spaces $L^p(G^2),$ $1\leq p <\infty,$ and  $C(G^2)$  by the matrix transform. |
| doi_str_mv | 10.3842/umzh.v76i5.7397 |
| first_indexed | 2026-03-24T03:32:25Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7397 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:25Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-73972024-11-22T08:15:08Z Approximation of double Walsh–Fourier series by means of the matrix transform Approximation of double Walsh–Fourier series by means of the matrix transform Blahota, István Blahota, István Walsh group; Walsh system; Walsh-Fourier series; N\ UDC 517.5 We discuss the rate of approximation of partial sums of the  double Walsh–Fourier series in the spaces $L^p(G^2),$ $1\leq p <\infty,$ and  $C(G^2)$  by the matrix transform. УДК 517.5 Наближення подвійних рядів Уолша–Фур'є за допомогою матричного перетворення Проаналізовано швидкість наближення  частинних сум подвійних рядів Уолша–Фур'є у просторі $L^p(G^2),$ $1\leq p <\infty,$ та у просторі $C(G^2)$ за допомогою матричного перетворення. Institute of Mathematics, NAS of Ukraine 2024-06-02 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7397 10.3842/umzh.v76i5.7397 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 5 (2024); 664 - 679 Український математичний журнал; Том 76 № 5 (2024); 664 - 679 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7397/9938 Copyright (c) 2024 István Blahota |
| spellingShingle | Blahota, István Blahota, István Approximation of double Walsh–Fourier series by means of the matrix transform |
| title | Approximation of double Walsh–Fourier series by means of the matrix transform |
| title_alt | Approximation of double Walsh–Fourier series by means of the matrix transform |
| title_full | Approximation of double Walsh–Fourier series by means of the matrix transform |
| title_fullStr | Approximation of double Walsh–Fourier series by means of the matrix transform |
| title_full_unstemmed | Approximation of double Walsh–Fourier series by means of the matrix transform |
| title_short | Approximation of double Walsh–Fourier series by means of the matrix transform |
| title_sort | approximation of double walsh–fourier series by means of the matrix transform |
| topic_facet | Walsh group Walsh system Walsh-Fourier series N\ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7397 |
| work_keys_str_mv | AT blahotaistvan approximationofdoublewalshfourierseriesbymeansofthematrixtransform AT blahotaistvan approximationofdoublewalshfourierseriesbymeansofthematrixtransform |