On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables
Order estimates are obtained for the best approximations of the classesB 1, θ r in the spaceL q with 1
Saved in:
| Date: | 1995 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5385 |
| 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_ | 1860511617602551808 |
|---|---|
| author | Romanyuk, A. S. Романюк, А. С. Романюк, А. С. |
| author_facet | Romanyuk, A. S. Романюк, А. С. Романюк, А. С. |
| author_sort | Romanyuk, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:17Z |
| description | Order estimates are obtained for the best approximations of the classesB 1, θ r in the spaceL q with 1 |
| first_indexed | 2026-03-24T03:15:44Z |
| format | Article |
| fulltext |
0079
0080
0081
0082
0083
0084
0085
0086
0087
0088
0089
0090
0091
0092
|
| id | umjimathkievua-article-5385 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:44Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/3f/ff042a88ad0ea3f8c89f14affbc2b83f.pdf |
| spelling | umjimathkievua-article-53852020-03-19T08:58:17Z On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables О наилучших приближениях и колмогоровских поперечниках классов Бесова периодических функций многих переменных Romanyuk, A. S. Романюк, А. С. Романюк, А. С. Order estimates are obtained for the best approximations of the classesB 1, θ r in the spaceL q with 1 Одержані порядкові оцінки найкращих наближень класів $B_{1, θ}^r$ в просторі $L_q$ при $1 < q < ∞$, а також класів $B_{∞, θ}^r$ в рівномірній метриці. Досліджується також поведінка колмої оровських поперечників класів $B_{ p, θ}^r,\; 1 < p ≤ ∞$, в метриці $L_{∞}$. Institute of Mathematics, NAS of Ukraine 1995-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5385 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 1 (1995); 79–92 Український математичний журнал; Том 47 № 1 (1995); 79–92 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5385/7461 https://umj.imath.kiev.ua/index.php/umj/article/view/5385/7462 Copyright (c) 1995 Romanyuk A. S. |
| spellingShingle | Romanyuk, A. S. Романюк, А. С. Романюк, А. С. On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables |
| title | On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables |
| title_alt | О наилучших приближениях и колмогоровских поперечниках классов Бесова периодических функций многих переменных |
| title_full | On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables |
| title_fullStr | On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables |
| title_full_unstemmed | On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables |
| title_short | On the best approximations and Kolmogorov widths of besov classes of periodic functions of many variables |
| title_sort | on the best approximations and kolmogorov widths of besov classes of periodic functions of many variables |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5385 |
| work_keys_str_mv | AT romanyukas onthebestapproximationsandkolmogorovwidthsofbesovclassesofperiodicfunctionsofmanyvariables AT romanûkas onthebestapproximationsandkolmogorovwidthsofbesovclassesofperiodicfunctionsofmanyvariables AT romanûkas onthebestapproximationsandkolmogorovwidthsofbesovclassesofperiodicfunctionsofmanyvariables AT romanyukas onailučšihpribliženiâhikolmogorovskihpoperečnikahklassovbesovaperiodičeskihfunkcijmnogihperemennyh AT romanûkas onailučšihpribliženiâhikolmogorovskihpoperečnikahklassovbesovaperiodičeskihfunkcijmnogihperemennyh AT romanûkas onailučšihpribliženiâhikolmogorovskihpoperečnikahklassovbesovaperiodičeskihfunkcijmnogihperemennyh |