Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients
This paper is a survey of results concerning the estimation of the moduli of continuity of functions in the metric of L in terms of their Fourier coefficients. Upper bounds, lower bounds, and asymptotic estimates of the moduli of continuity are presented.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5723 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511948636946432 |
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| author | Telyakovskii, S. A. Теляковский, С. А. Теляковский, С. А. |
| author_facet | Telyakovskii, S. A. Теляковский, С. А. Теляковский, С. А. |
| author_sort | Telyakovskii, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:16:22Z |
| description | This paper is a survey of results concerning the estimation of the moduli of continuity of functions in the metric of L in terms of their Fourier coefficients. Upper bounds, lower bounds, and asymptotic estimates of the moduli of continuity are presented. |
| first_indexed | 2026-03-24T03:21:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5723 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:21:00Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e1/53ed333f3878f1c8a5768537e1876fe1.pdf |
| spelling | umjimathkievua-article-57232020-03-19T09:16:22Z Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients Оценки модуля непрерывности в метрике $L$ функций одной переменной через коэффициенты Фурье Telyakovskii, S. A. Теляковский, С. А. Теляковский, С. А. This paper is a survey of results concerning the estimation of the moduli of continuity of functions in the metric of L in terms of their Fourier coefficients. Upper bounds, lower bounds, and asymptotic estimates of the moduli of continuity are presented. Стаття являє собою огляд результатів, які мають відношення до оцінок значень модуля неперервності в метриці $L$ функції через її коефіцієнти Фур’є. Наводяться оцінки модуля неперервності знизу, зверху і асимптотичні оцінки. Institute of Mathematics, NAS of Ukraine 1994-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5723 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 5 (1994); 626–632 Український математичний журнал; Том 46 № 5 (1994); 626–632 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5723/8131 https://umj.imath.kiev.ua/index.php/umj/article/view/5723/8132 Copyright (c) 1994 Telyakovskii S. A. |
| spellingShingle | Telyakovskii, S. A. Теляковский, С. А. Теляковский, С. А. Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients |
| title | Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients |
| title_alt | Оценки модуля непрерывности в метрике $L$ функций одной переменной через коэффициенты Фурье |
| title_full | Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients |
| title_fullStr | Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients |
| title_full_unstemmed | Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients |
| title_short | Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of fourier coefficients |
| title_sort | estimation of the moduli of continuity of one-variable functions in the metric of $l$ in terms of fourier coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5723 |
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