(ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere
We establish upper bounds for approximations by generalized Totik strong means applied to deviations of Cezàro means of critical order for Fourier–Laplace series of continuous functions. The estimates obtained are represented in terms of uniform best approximations of continuous functions on a unit...
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| Дата: | 2002 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2002
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4104 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510236677242880 |
|---|---|
| author | Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. |
| author_facet | Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. |
| author_sort | Lasuriya, R. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:32Z |
| description | We establish upper bounds for approximations by generalized Totik strong means applied to deviations of Cezàro means of critical order for Fourier–Laplace series of continuous functions. The estimates obtained are represented in terms of uniform best approximations of continuous functions on a unit sphere. |
| first_indexed | 2026-03-24T02:53:48Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4104 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:53:48Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b9/7d4b3ad3fba2f8e16690fcb3629378b9.pdf |
| spelling | umjimathkievua-article-41042020-03-18T20:22:32Z (ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere (ϕ, α)-Сильная суммируемость рядов Фурье - Лапласа функций, непрерывных на сфере Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. We establish upper bounds for approximations by generalized Totik strong means applied to deviations of Cezàro means of critical order for Fourier–Laplace series of continuous functions. The estimates obtained are represented in terms of uniform best approximations of continuous functions on a unit sphere. Встановлено оцінки зверху наближені, узагальненими сильними середніми В. Тотика, застосованими до відхилень, середніх Чезаро критичного порядку рядів Фур'е - Лапласа від неперервних функцій. Оцінки подано через рівномірні найкращі наближення неперервних функцій на одиничній сфері. Institute of Mathematics, NAS of Ukraine 2002-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4104 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 5 (2002); 656-665 Український математичний журнал; Том 54 № 5 (2002); 656-665 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4104/4917 https://umj.imath.kiev.ua/index.php/umj/article/view/4104/4918 Copyright (c) 2002 Lasuriya R. A. |
| spellingShingle | Lasuriya, R. A. Ласурия, Р. А. Ласурия, Р. А. (ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere |
| title | (ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere |
| title_alt | (ϕ, α)-Сильная суммируемость рядов Фурье - Лапласа функций, непрерывных на сфере |
| title_full | (ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere |
| title_fullStr | (ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere |
| title_full_unstemmed | (ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere |
| title_short | (ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere |
| title_sort | (ϕ, α)-strong summability of fourier–laplace series for functions continuous on a sphere |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4104 |
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