Approximation by fourier sums and best approximations on classes of analytic functions
We establish asymptotic equalities for upper bounds of approximations by Fourier sums and for the best approximations in the metrics of C and L1 on classes of convolutions of periodic functions that can be regularly extended into a fixed strip of the complex plane.
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| Date: | 2000 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian 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/4428 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510558343659520 |
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| author | Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. |
| author_facet | Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. |
| author_sort | Serdyuk, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:28:54Z |
| description | We establish asymptotic equalities for upper bounds of approximations by Fourier sums and for the best approximations in the metrics of C and L1 on classes of convolutions of periodic functions that can be regularly extended into a fixed strip of the complex plane. |
| first_indexed | 2026-03-24T02:58:54Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4428 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:54Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0e/4c1d536a92b5d295ebb1ce24b096550e.pdf |
| spelling | umjimathkievua-article-44282020-03-18T20:28:54Z Approximation by fourier sums and best approximations on classes of analytic functions Приближение суммами Фурье и наилучшие приближения на классах аналитических функций Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. We establish asymptotic equalities for upper bounds of approximations by Fourier sums and for the best approximations in the metrics of C and L1 on classes of convolutions of periodic functions that can be regularly extended into a fixed strip of the complex plane. Знайдено асимптотичні рівності для верхніх меж наближень сумами Фур'є та для найкращих наближень в метриках $С$ і $L_1$ на класах згорток періодичних функцій, що можуть бути регулярно продовжені у фіксовану смугу комплексної площини. Institute of Mathematics, NAS of Ukraine 2000-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4428 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 3 (2000); 375-395 Український математичний журнал; Том 52 № 3 (2000); 375-395 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4428/5560 https://umj.imath.kiev.ua/index.php/umj/article/view/4428/5561 Copyright (c) 2000 Serdyuk A. S.; Stepanets O. I. |
| spellingShingle | Serdyuk, A. S. Stepanets, O. I. Сердюк, А. С. Степанец, А. И. Сердюк, А. С. Степанец, А. И. Approximation by fourier sums and best approximations on classes of analytic functions |
| title | Approximation by fourier sums and best approximations on classes of analytic functions |
| title_alt | Приближение суммами Фурье и наилучшие приближения на классах аналитических функций |
| title_full | Approximation by fourier sums and best approximations on classes of analytic functions |
| title_fullStr | Approximation by fourier sums and best approximations on classes of analytic functions |
| title_full_unstemmed | Approximation by fourier sums and best approximations on classes of analytic functions |
| title_short | Approximation by fourier sums and best approximations on classes of analytic functions |
| title_sort | approximation by fourier sums and best approximations on classes of analytic functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4428 |
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