On lower bounds for the approximation of functions by local splines with nonfixed nodes
For functions integrable to the power \(\beta = (r + 1 + 1/p)^{ - 1} \) , we obtain asymptotically exact lower bounds for the approximation by local splines of degree r and defect k< r/2 in the metric of L p
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| Datum: | 2000 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4403 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510533611945984 |
|---|---|
| author | Shumeiko, A. A. Шумейко, А. А. Шумейко, А. А. |
| author_facet | Shumeiko, A. A. Шумейко, А. А. Шумейко, А. А. |
| author_sort | Shumeiko, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:28:25Z |
| description | For functions integrable to the power \(\beta = (r + 1 + 1/p)^{ - 1} \) , we obtain asymptotically exact lower bounds for the approximation by local splines of degree r and defect k< r/2 in the metric of L p |
| first_indexed | 2026-03-24T02:58:31Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4403 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:31Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/9b/7c58d1f97330a06ffa0fac36b85da69b.pdf |
| spelling | umjimathkievua-article-44032020-03-18T20:28:25Z On lower bounds for the approximation of functions by local splines with nonfixed nodes Об оценках снизу приближения функций локальными сплайнами с нефиксированными узлами Shumeiko, A. A. Шумейко, А. А. Шумейко, А. А. For functions integrable to the power \(\beta = (r + 1 + 1/p)^{ - 1} \) , we obtain asymptotically exact lower bounds for the approximation by local splines of degree r and defect k< r/2 in the metric of L p Для функцій, інтегровних в степені $\beta = (r + 1 + 1/p)^{ - 1}$, отримано асимптотично точні оцінки знизу наближення локальними сплайнами степеня $ r$ дефекту $k< r/2$ в метриці $L_p$. Institute of Mathematics, NAS of Ukraine 2000-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4403 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 1 (2000); 134-144 Український математичний журнал; Том 52 № 1 (2000); 134-144 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4403/5510 https://umj.imath.kiev.ua/index.php/umj/article/view/4403/5511 Copyright (c) 2000 Shumeiko A. A. |
| spellingShingle | Shumeiko, A. A. Шумейко, А. А. Шумейко, А. А. On lower bounds for the approximation of functions by local splines with nonfixed nodes |
| title | On lower bounds for the approximation of functions by local splines with nonfixed nodes |
| title_alt | Об оценках снизу приближения функций локальными сплайнами с нефиксированными узлами |
| title_full | On lower bounds for the approximation of functions by local splines with nonfixed nodes |
| title_fullStr | On lower bounds for the approximation of functions by local splines with nonfixed nodes |
| title_full_unstemmed | On lower bounds for the approximation of functions by local splines with nonfixed nodes |
| title_short | On lower bounds for the approximation of functions by local splines with nonfixed nodes |
| title_sort | on lower bounds for the approximation of functions by local splines with nonfixed nodes |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4403 |
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