Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$
We establish an asymptotically exact estimate for the error of approximation of ℝ2-periodic functions of high smoothness by interpolation trigonometric polynomials in the metric of L 1.
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4501 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510627793993728 |
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| author | Serdyuk, A. S. Сердюк, А. С. |
| author_facet | Serdyuk, A. S. Сердюк, А. С. |
| author_sort | Serdyuk, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:30:08Z |
| description | We establish an asymptotically exact estimate for the error of approximation of ℝ2-periodic functions of high smoothness by interpolation trigonometric polynomials in the metric of L 1. |
| first_indexed | 2026-03-24T03:00:01Z |
| format | Article |
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| id | umjimathkievua-article-4501 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:00:01Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6e/30db95e2a9e698b7b267fbd593fd4b6e.pdf |
| spelling | umjimathkievua-article-45012020-03-18T20:30:08Z Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$ Наближення періодичних функцій високої гладкості інтерполяційними тригонометричними поліномами в метриці Serdyuk, A. S. Сердюк, А. С. We establish an asymptotically exact estimate for the error of approximation of ℝ2-periodic functions of high smoothness by interpolation trigonometric polynomials in the metric of L 1. Встановлено асимптотично точну оцінку похибки наближення Аперіодичних функцій високої гладкості інтерполяційними тригонометричними поліномами в $L_1$-метриці. Institute of Mathematics, NAS of Ukraine 2000-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4501 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 7 (2000); 994-998 Український математичний журнал; Том 52 № 7 (2000); 994-998 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4501/5706 https://umj.imath.kiev.ua/index.php/umj/article/view/4501/5707 Copyright (c) 2000 Serdyuk A. S. |
| spellingShingle | Serdyuk, A. S. Сердюк, А. С. Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$ |
| title | Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$ |
| title_alt | Наближення періодичних функцій високої гладкості інтерполяційними тригонометричними поліномами в метриці |
| title_full | Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$ |
| title_fullStr | Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$ |
| title_full_unstemmed | Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$ |
| title_short | Approximation of Periodic Functions of High Smoothness by Interpolation Trigonometric Polynomials in the Metric of $L_1$ |
| title_sort | approximation of periodic functions of high smoothness by interpolation trigonometric polynomials in the metric of $l_1$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4501 |
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