On lower bounds for the approximation of individual functions by local splines with nonfixed nodes
For functions with the integrable βth power, where β = (r + 1 + 1/p)−1, we obtain asymptotically exact lower bounds for the approximation by local splines of degreer and defectk ≥r/2 in the metric ofL p.
Saved in:
| Date: | 1999 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4767 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510941952606208 |
|---|---|
| author | Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. |
| author_facet | Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. |
| author_sort | Ligun, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:13:33Z |
| description | For functions with the integrable βth power, where β = (r + 1 + 1/p)−1, we obtain asymptotically exact lower bounds for the approximation by local splines of degreer and defectk ≥r/2 in the metric ofL p. |
| first_indexed | 2026-03-24T03:05:00Z |
| format | Article |
| fulltext |
0044
0045
0046
0047
0048
0049
0050
0051
0052
0053
|
| id | umjimathkievua-article-4767 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:05:00Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a2/f022d2a54d2052c586aa186bfb33f1a2.pdf |
| spelling | umjimathkievua-article-47672020-03-18T21:13:33Z On lower bounds for the approximation of individual functions by local splines with nonfixed nodes Об оценках снизу приближения индивидуальных функций локальными сплайнами с нефиксированными узлами Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. For functions with the integrable βth power, where β = (r + 1 + 1/p)−1, we obtain asymptotically exact lower bounds for the approximation by local splines of degreer and defectk ≥r/2 in the metric ofL p. Для функцій таких, що інтеграл від функції в степені $β = (r + 1 + 1/p)^{−1}$ збігається, отримано асимптотично точні оцінки знизу наближення локальними сплайнами степеня $r$ дефекту $k ≥r/2 $ в метриці $L_p$. Institute of Mathematics, NAS of Ukraine 1999-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4767 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 12 (1999); 1628–1637 Український математичний журнал; Том 51 № 12 (1999); 1628–1637 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4767/6235 https://umj.imath.kiev.ua/index.php/umj/article/view/4767/6236 Copyright (c) 1999 Ligun A. A.; Shumeiko A. A. |
| spellingShingle | Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. On lower bounds for the approximation of individual functions by local splines with nonfixed nodes |
| title | On lower bounds for the approximation of individual functions by local splines with nonfixed nodes |
| title_alt | Об оценках снизу приближения индивидуальных функций
локальными сплайнами с нефиксированными узлами |
| title_full | On lower bounds for the approximation of individual functions by local splines with nonfixed nodes |
| title_fullStr | On lower bounds for the approximation of individual functions by local splines with nonfixed nodes |
| title_full_unstemmed | On lower bounds for the approximation of individual functions by local splines with nonfixed nodes |
| title_short | On lower bounds for the approximation of individual functions by local splines with nonfixed nodes |
| title_sort | on lower bounds for the approximation of individual functions by local splines with nonfixed nodes |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4767 |
| work_keys_str_mv | AT ligunaa onlowerboundsfortheapproximationofindividualfunctionsbylocalsplineswithnonfixednodes AT shumeikoaa onlowerboundsfortheapproximationofindividualfunctionsbylocalsplineswithnonfixednodes AT ligunaa onlowerboundsfortheapproximationofindividualfunctionsbylocalsplineswithnonfixednodes AT šumejkoaa onlowerboundsfortheapproximationofindividualfunctionsbylocalsplineswithnonfixednodes AT ligunaa onlowerboundsfortheapproximationofindividualfunctionsbylocalsplineswithnonfixednodes AT šumejkoaa onlowerboundsfortheapproximationofindividualfunctionsbylocalsplineswithnonfixednodes AT ligunaa obocenkahsnizupribliženiâindividualʹnyhfunkcijlokalʹnymisplajnamisnefiksirovannymiuzlami AT shumeikoaa obocenkahsnizupribliženiâindividualʹnyhfunkcijlokalʹnymisplajnamisnefiksirovannymiuzlami AT ligunaa obocenkahsnizupribliženiâindividualʹnyhfunkcijlokalʹnymisplajnamisnefiksirovannymiuzlami AT šumejkoaa obocenkahsnizupribliženiâindividualʹnyhfunkcijlokalʹnymisplajnamisnefiksirovannymiuzlami AT ligunaa obocenkahsnizupribliženiâindividualʹnyhfunkcijlokalʹnymisplajnamisnefiksirovannymiuzlami AT šumejkoaa obocenkahsnizupribliženiâindividualʹnyhfunkcijlokalʹnymisplajnamisnefiksirovannymiuzlami |