The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II
The order estimates are obtained for the best trigonometric and bilinear approximations of the classes $B^r_{p, \theta}$ of functions of many variables with respect to the metric $L_q$ when $p$ and $q$ satisfy certain relations.
Saved in:
| Date: | 1993 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5946 |
| 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_ | 1865793207743283200 |
|---|---|
| author | Romanyuk, A. S. Романюк, А. С. Романюк, А. С. |
| author_facet | Romanyuk, A. S. Романюк, А. С. Романюк, А. С. |
| author_institution_txt_mv | [
{
"author": "А. С. Романюк",
"institution": null
}
] |
| author_sort | Romanyuk, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:21:43Z |
| description | The order estimates are obtained for the best trigonometric and bilinear approximations of the classes $B^r_{p, \theta}$ of functions of many variables with respect to the metric
$L_q$ when $p$ and $q$ satisfy certain relations. |
| first_indexed | 2026-03-24T03:24:32Z |
| format | Article |
| fulltext |
0089
0090
0091
0092
0093
0094
0095
0096
0097
0098
0099
0100
0101
|
| id | umjimathkievua-article-5946 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:32Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bd/2dfa6d7700ec6f38f8625c5c85affbbd.pdf |
| spelling | umjimathkievua-article-59462020-03-19T09:21:43Z The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II Наилучшие тригонометрические и билинейные приближения функций многих переменных из классов $B^r_{p, \theta}$. II Romanyuk, A. S. Романюк, А. С. Романюк, А. С. The order estimates are obtained for the best trigonometric and bilinear approximations of the classes $B^r_{p, \theta}$ of functions of many variables with respect to the metric $L_q$ when $p$ and $q$ satisfy certain relations. Одержані порядкові оцінки найкращих тригонометричних і білінійних наближень класів функцій багатьох змінних $B^r_{p, \theta}$ в метриці $L_q$ для деяких співвідношень між $p$ і $q$. Institute of Mathematics, NAS of Ukraine 1993-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5946 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 10 (1993); 1411–1423 Український математичний журнал; Том 45 № 10 (1993); 1411–1423 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5946/8575 https://umj.imath.kiev.ua/index.php/umj/article/view/5946/8576 Copyright (c) 1993 Romanyuk A. S. |
| spellingShingle | Romanyuk, A. S. Романюк, А. С. Романюк, А. С. The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II |
| title | The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II |
| title_alt | Наилучшие тригонометрические и билинейные приближения функций многих переменных из классов $B^r_{p, \theta}$. II |
| title_full | The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II |
| title_fullStr | The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II |
| title_full_unstemmed | The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II |
| title_short | The best trigonometric and bilinear approximations for functions of many variables from the classes $B^r_{p, \theta}$. II |
| title_sort | best trigonometric and bilinear approximations for functions of many variables from the classes $b^r_{p, \theta}$. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5946 |
| work_keys_str_mv | AT romanyukas thebesttrigonometricandbilinearapproximationsforfunctionsofmanyvariablesfromtheclassesbrpthetaii AT romanûkas thebesttrigonometricandbilinearapproximationsforfunctionsofmanyvariablesfromtheclassesbrpthetaii AT romanûkas thebesttrigonometricandbilinearapproximationsforfunctionsofmanyvariablesfromtheclassesbrpthetaii AT romanyukas nailučšietrigonometričeskieibilinejnyepribliženiâfunkcijmnogihperemennyhizklassovbrpthetaii AT romanûkas nailučšietrigonometričeskieibilinejnyepribliženiâfunkcijmnogihperemennyhizklassovbrpthetaii AT romanûkas nailučšietrigonometričeskieibilinejnyepribliženiâfunkcijmnogihperemennyhizklassovbrpthetaii AT romanyukas besttrigonometricandbilinearapproximationsforfunctionsofmanyvariablesfromtheclassesbrpthetaii AT romanûkas besttrigonometricandbilinearapproximationsforfunctionsofmanyvariablesfromtheclassesbrpthetaii AT romanûkas besttrigonometricandbilinearapproximationsforfunctionsofmanyvariablesfromtheclassesbrpthetaii |