Approximation of periodic functions by constants in the metric spaces $ϕp(L)$
By using the best approximations of functions by constants, we establish necessary conditions for the moduli of continuity of periodic functions in metric spaces with integral metric and find the Young constants of these spaces.
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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/5665 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511892943929344 |
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| author | Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. |
| author_facet | Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. |
| author_sort | Pichugov, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:19Z |
| description | By using the best approximations of functions by constants, we establish necessary conditions for the moduli of continuity of periodic functions in metric spaces with integral metric and find the Young constants of these spaces. |
| first_indexed | 2026-03-24T03:20:07Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5665 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:07Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/55/044ad9933cfbd483cf1d78e0815b8e55.pdf |
| spelling | umjimathkievua-article-56652020-03-19T09:15:19Z Approximation of periodic functions by constants in the metric spaces $ϕp(L)$ Приближение константой периодических функций в метрических пространствах $ϕp(L)$ Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. By using the best approximations of functions by constants, we establish necessary conditions for the moduli of continuity of periodic functions in metric spaces with integral metric and find the Young constants of these spaces. За допомогою найкращого наближення функцій константою одержані необхідні умови для модулів неперервності періодичних функцій в метричних просторах з інтегральною метрикою, а також обчислені константи Юнга цих просторів. Institute of Mathematics, NAS of Ukraine 1994-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5665 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 8 (1994); 1095–1098 Український математичний журнал; Том 46 № 8 (1994); 1095–1098 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5665/8015 https://umj.imath.kiev.ua/index.php/umj/article/view/5665/8016 Copyright (c) 1994 Pichugov S. A. |
| spellingShingle | Pichugov, S. A. Пичугов, С. А. Пичугов, С. А. Approximation of periodic functions by constants in the metric spaces $ϕp(L)$ |
| title | Approximation of periodic functions by constants in the metric spaces $ϕp(L)$ |
| title_alt | Приближение константой периодических функций в метрических пространствах $ϕp(L)$ |
| title_full | Approximation of periodic functions by constants in the metric spaces $ϕp(L)$ |
| title_fullStr | Approximation of periodic functions by constants in the metric spaces $ϕp(L)$ |
| title_full_unstemmed | Approximation of periodic functions by constants in the metric spaces $ϕp(L)$ |
| title_short | Approximation of periodic functions by constants in the metric spaces $ϕp(L)$ |
| title_sort | approximation of periodic functions by constants in the metric spaces $ϕp(l)$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5665 |
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