Uniform convergence of the Fourier spherical sums differentiated by the function
Asymptotic equalities are found for exact upper bounds of the deviations in the uniform metric of the spherical sums of a multiple trigonometric Fourier series on classes of functions with a mean-bounded Liouville derivative.
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| Date: | 1991 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9304 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513485200293888 |
|---|---|
| author | Grona , V. L. Грона , В. Л. |
| author_facet | Grona , V. L. Грона , В. Л. |
| author_sort | Grona , V. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-19T08:20:09Z |
| description | Asymptotic equalities are found for exact upper bounds of the deviations in the uniform metric of the spherical sums of a multiple trigonometric Fourier series on classes of functions with a mean-bounded Liouville derivative. |
| first_indexed | 2026-03-24T03:45:26Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-9304 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:26Z |
| publishDate | 1991 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/38/8b27afbcb6826787bd38cdafa3bb8438 |
| spelling | umjimathkievua-article-93042025-06-19T08:20:09Z Uniform convergence of the Fourier spherical sums differentiated by the function О равномерной сходимости сферических сумм Фурье дифференцируемых функций Grona , V. L. Грона , В. Л. Asymptotic equalities are found for exact upper bounds of the deviations in the uniform metric of the spherical sums of a multiple trigonometric Fourier series on classes of functions with a mean-bounded Liouville derivative. Найдены асимптотические равенства для точных верхних граней уклонений в равномерной метрике сферических сумм кратного тригонометрического ряда Фурье на классах функций-с ограниченной в среднем производной Лиувилля. Знайдені асимптотичні рівності для точних верхніх граней в рівномірній метриці сферичних сум кратного тригонометричного ряду Фур’є на класах функцій з обмеженою у середньому похідною Ліувілля. Institute of Mathematics, NAS of Ukraine 1991-01-18 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9304 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 1 (1991); 47-53 Український математичний журнал; Том 43 № 1 (1991); 47-53 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9304/10479 Copyright (c) 1991 В. Л. Грона |
| spellingShingle | Grona , V. L. Грона , В. Л. Uniform convergence of the Fourier spherical sums differentiated by the function |
| title | Uniform convergence of the Fourier spherical sums differentiated by the function |
| title_alt | О равномерной сходимости сферических сумм Фурье дифференцируемых функций |
| title_full | Uniform convergence of the Fourier spherical sums differentiated by the function |
| title_fullStr | Uniform convergence of the Fourier spherical sums differentiated by the function |
| title_full_unstemmed | Uniform convergence of the Fourier spherical sums differentiated by the function |
| title_short | Uniform convergence of the Fourier spherical sums differentiated by the function |
| title_sort | uniform convergence of the fourier spherical sums differentiated by the function |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9304 |
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