Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$
We investigate the best approximations of sine-shaped functions by constants in the spaces $L_p$ for $p < 1$. In particular, we find the best approximation of perfect Euler splines by constants in the spaces Lp for certain $p∈(0,1)$.
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| Datum: | 2004 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3795 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509927639875584 |
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| author | Babenko, V. F. Kofanov, V. A. Pichugov, S. A. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. |
| author_facet | Babenko, V. F. Kofanov, V. A. Pichugov, S. A. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. |
| author_sort | Babenko, V. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:09:24Z |
| description | We investigate the best approximations of sine-shaped functions by constants in the spaces $L_p$ for $p < 1$. In particular, we find the best approximation of perfect Euler splines by constants in the spaces Lp for certain $p∈(0,1)$. |
| first_indexed | 2026-03-24T02:48:53Z |
| format | Article |
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| id | umjimathkievua-article-3795 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:48:53Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6e/0e624163927b0fc4365943d46db11f6e.pdf |
| spelling | umjimathkievua-article-37952020-03-18T20:09:24Z Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$ Приближение синусоподобпых функций константами в пространствах $L_p,\; p < 1$ Babenko, V. F. Kofanov, V. A. Pichugov, S. A. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. We investigate the best approximations of sine-shaped functions by constants in the spaces $L_p$ for $p < 1$. In particular, we find the best approximation of perfect Euler splines by constants in the spaces Lp for certain $p∈(0,1)$. Досліджено найкращі наближення синусоподобних функцій константами в $L_p,$-просторах при $р < 1$. Зокрема, знайдено найкраще наближення ідеальних сплайнів Ейлера константами у просторах $L_p,$ при деяких $р \in (0, 1)$. Institute of Mathematics, NAS of Ukraine 2004-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3795 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 6 (2004); 745–762 Український математичний журнал; Том 56 № 6 (2004); 745–762 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3795/4310 https://umj.imath.kiev.ua/index.php/umj/article/view/3795/4311 Copyright (c) 2004 Babenko V. F.; Kofanov V. A.; Pichugov S. A. |
| spellingShingle | Babenko, V. F. Kofanov, V. A. Pichugov, S. A. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. Бабенко, В. Ф. Кофанов, В. А. Пичугов, С. А. Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$ |
| title | Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$ |
| title_alt | Приближение синусоподобпых функций константами в пространствах $L_p,\; p < 1$ |
| title_full | Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$ |
| title_fullStr | Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$ |
| title_full_unstemmed | Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$ |
| title_short | Approximation of sine-shaped functions by constants in the spaces $L_p,\; p < 1$ |
| title_sort | approximation of sine-shaped functions by constants in the spaces $l_p,\; p < 1$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3795 |
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