Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients
An upper bound for the best approximation of periodic summable functions of two variables in the metric of L is obtained in terms of Fourier coefficients. Functions that can be represented by trigonometric series with coefficients satisfying a two-dimensional analog of the Boas–Telyakovskii conditio...
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3727 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509859855728640 |
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| author | Kononovych, T. O. Кононович, Т. О. |
| author_facet | Kononovych, T. O. Кононович, Т. О. |
| author_sort | Kononovych, T. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:05:58Z |
| description | An upper bound for the best approximation of periodic summable functions of two variables in the metric of L is obtained in terms of Fourier coefficients. Functions that can be represented by trigonometric series with coefficients satisfying a two-dimensional analog of the Boas–Telyakovskii conditions are considered. |
| first_indexed | 2026-03-24T02:47:48Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3727 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:47:48Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6d/5c44aebaf0652f09cd00d17f40329f6d.pdf |
| spelling | umjimathkievua-article-37272020-03-18T20:05:58Z Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients Оцінка найкращого наближення сумовних функцій двох змінних через коефіцієнти Фур'є Kononovych, T. O. Кононович, Т. О. An upper bound for the best approximation of periodic summable functions of two variables in the metric of L is obtained in terms of Fourier coefficients. Functions that can be represented by trigonometric series with coefficients satisfying a two-dimensional analog of the Boas–Telyakovskii conditions are considered. Отримало виражену через коефіцієнти Фур'е оцінку зверху найкращого наближення в метриці L періодичних сумовних функцій двох змінних. Розглянуто функції, які можна зобразити тригонометричиими рядами з коефіцієнтами, що задовольняють двовимірний аналог умой Боаса — Теляковського. Institute of Mathematics, NAS of Ukraine 2004-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3727 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 1 (2004); 51-69 Український математичний журнал; Том 56 № 1 (2004); 51-69 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3727/4178 https://umj.imath.kiev.ua/index.php/umj/article/view/3727/4179 Copyright (c) 2004 Kononovych T. O. |
| spellingShingle | Kononovych, T. O. Кононович, Т. О. Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients |
| title | Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients |
| title_alt | Оцінка найкращого наближення сумовних функцій двох змінних через коефіцієнти Фур'є |
| title_full | Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients |
| title_fullStr | Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients |
| title_full_unstemmed | Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients |
| title_short | Estimate for the Best Approximation of Summable Functions of Two Variables in Terms of Fourier Coefficients |
| title_sort | estimate for the best approximation of summable functions of two variables in terms of fourier coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3727 |
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