Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$
We obtain order estimates for the approximation of the classes $B_ r^{p,θ}$ of periodic functions of many variables in the space $L_q$ by using operators of orthogonal projection and linear operators satisfying certain conditions.
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| Date: | 2001 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4341 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510471272005632 |
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| 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 | 2020-03-18T20:26:49Z |
| description | We obtain order estimates for the approximation of the classes $B_ r^{p,θ}$ of periodic functions of many variables in the space $L_q$ by using operators of orthogonal projection and linear operators satisfying certain conditions. |
| first_indexed | 2026-03-24T02:57:31Z |
| format | Article |
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| id | umjimathkievua-article-4341 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:57:31Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0c/b6b95c2a21cccc9d4849c88d07482e0c.pdf |
| spelling | umjimathkievua-article-43412020-03-18T20:26:49Z Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$ Оценки аппроксимативных характеристик классов Бесова $B_ r^{p,θ}$ периодических функций многих переменных в пространстве $L_q. I$ Romanyuk, A. S. Романюк, А. С. Романюк, А. С. We obtain order estimates for the approximation of the classes $B_ r^{p,θ}$ of periodic functions of many variables in the space $L_q$ by using operators of orthogonal projection and linear operators satisfying certain conditions. Одержано порядкові оцінки наближення класів періодичних функцій багатьох змінних у просторі $L_q$ за допомогою операторів ортогонального проектування, а також лінійних операторів, що підпорядковані деяким умовам, Institute of Mathematics, NAS of Ukraine 2001-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4341 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 9 (2001); 1224-1231 Український математичний журнал; Том 53 № 9 (2001); 1224-1231 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4341/5386 https://umj.imath.kiev.ua/index.php/umj/article/view/4341/5387 Copyright (c) 2001 Romanyuk A. S. |
| spellingShingle | Romanyuk, A. S. Романюк, А. С. Романюк, А. С. Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$ |
| title | Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$ |
| title_alt | Оценки аппроксимативных характеристик классов Бесова $B_ r^{p,θ}$ периодических функций многих переменных в пространстве $L_q. I$ |
| title_full | Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$ |
| title_fullStr | Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$ |
| title_full_unstemmed | Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$ |
| title_short | Estimates for Approximation Characteristics of the Besov Classes $B_ r^{p,θ}$ of Periodic Functions of Many Variables in the Space $L_q. I$ |
| title_sort | estimates for approximation characteristics of the besov classes $b_ r^{p,θ}$ of periodic functions of many variables in the space $l_q. i$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4341 |
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