On the renewal of a Wiener field on a plane with the use of its values on closed curves
Forw(u, v), (u, v)∉ γ (here,w(x, y), x≥0, y≥0, is a Wiener field and γ is a certain closed curve on a plane), we construct the best mean-square estimate on the basis of the values ofw(x, y) for (x, y)∈ γ. We also calculate the error of this estimate.
Збережено в:
| Дата: | 1999 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1999
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4661 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510814888263680 |
|---|---|
| author | Zemlyak, Т. V. Земляк, Т. В. Земляк, Т. В. |
| author_facet | Zemlyak, Т. V. Земляк, Т. В. Земляк, Т. В. |
| author_sort | Zemlyak, Т. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:00Z |
| description | Forw(u, v), (u, v)∉ γ (here,w(x, y), x≥0, y≥0, is a Wiener field and γ is a certain closed curve on a plane), we construct the best mean-square estimate on the basis of the values ofw(x, y) for (x, y)∈ γ. We also calculate the error of this estimate. |
| first_indexed | 2026-03-24T03:02:59Z |
| format | Article |
| fulltext |
0024
0025
0026
0027
0028
0029
0030
0031
0032
|
| id | umjimathkievua-article-4661 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:59Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/87/02c2b81f48213927b0c6e889be712487.pdf |
| spelling | umjimathkievua-article-46612020-03-18T21:11:00Z On the renewal of a Wiener field on a plane with the use of its values on closed curves О восстановлении винеровского поля на плоскости по его значениям на замкнутых кривых Zemlyak, Т. V. Земляк, Т. В. Земляк, Т. В. Forw(u, v), (u, v)∉ γ (here,w(x, y), x≥0, y≥0, is a Wiener field and γ is a certain closed curve on a plane), we construct the best mean-square estimate on the basis of the values ofw(x, y) for (x, y)∈ γ. We also calculate the error of this estimate. Побудовано найкращу в середньоквадратичному значенні оцінку для $w(u, v), (u, v)∉ γ$ (де $w(x, y), x ≥ 0, y ≥ 0$ — вінерівське поле, $γ$—деяка замкнена крива на площині), яка базується на значеннях $w(x, y)$, коли $(x, y)∈ γ$, та обчислено її похибку. Institute of Mathematics, NAS of Ukraine 1999-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4661 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 6 (1999); 744–752 Український математичний журнал; Том 51 № 6 (1999); 744–752 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4661/6024 https://umj.imath.kiev.ua/index.php/umj/article/view/4661/6025 Copyright (c) 1999 Zemlyak Т. V. |
| spellingShingle | Zemlyak, Т. V. Земляк, Т. В. Земляк, Т. В. On the renewal of a Wiener field on a plane with the use of its values on closed curves |
| title | On the renewal of a Wiener field on a plane with the use of its values on closed curves |
| title_alt | О восстановлении винеровского поля на плоскости по его значениям на
замкнутых кривых |
| title_full | On the renewal of a Wiener field on a plane with the use of its values on closed curves |
| title_fullStr | On the renewal of a Wiener field on a plane with the use of its values on closed curves |
| title_full_unstemmed | On the renewal of a Wiener field on a plane with the use of its values on closed curves |
| title_short | On the renewal of a Wiener field on a plane with the use of its values on closed curves |
| title_sort | on the renewal of a wiener field on a plane with the use of its values on closed curves |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4661 |
| work_keys_str_mv | AT zemlyaktv ontherenewalofawienerfieldonaplanewiththeuseofitsvaluesonclosedcurves AT zemlâktv ontherenewalofawienerfieldonaplanewiththeuseofitsvaluesonclosedcurves AT zemlâktv ontherenewalofawienerfieldonaplanewiththeuseofitsvaluesonclosedcurves AT zemlyaktv ovosstanovleniivinerovskogopolânaploskostipoegoznačeniâmnazamknutyhkrivyh AT zemlâktv ovosstanovleniivinerovskogopolânaploskostipoegoznačeniâmnazamknutyhkrivyh AT zemlâktv ovosstanovleniivinerovskogopolânaploskostipoegoznačeniâmnazamknutyhkrivyh |