Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$
We find exact values of upper bounds for the best approximations of $q$-ellipsoids by polynomials of degree $n$ in the spaces $S_\phi ^p$ in the case where the approximating polynomials are constructed on the basis of $n$-dimensional subsystems chosen successively from a given orthonormal system ϕ.
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| Datum: | 2003 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3941 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510071610408960 |
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| author | Rukasov, V. I. Stepanets, O. I. Рукасов, В. И. Степанец, А. И. Рукасов, В. И. Степанец, А. И. |
| author_facet | Rukasov, V. I. Stepanets, O. I. Рукасов, В. И. Степанец, А. И. Рукасов, В. И. Степанец, А. И. |
| author_sort | Rukasov, V. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:55Z |
| description | We find exact values of upper bounds for the best approximations of $q$-ellipsoids by polynomials of degree $n$ in the spaces $S_\phi ^p$ in the case where the approximating polynomials are constructed on the basis of $n$-dimensional subsystems chosen successively from a given orthonormal system ϕ. |
| first_indexed | 2026-03-24T02:51:10Z |
| format | Article |
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| id | umjimathkievua-article-3941 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:10Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fd/4cf8cfb2a7d48d1679b7c9d65e4fe8fd.pdf |
| spelling | umjimathkievua-article-39412020-03-18T20:15:55Z Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$ Наилучшие „сплошные" $n$-членные приближения в пространствах $S_\phi ^p$ Rukasov, V. I. Stepanets, O. I. Рукасов, В. И. Степанец, А. И. Рукасов, В. И. Степанец, А. И. We find exact values of upper bounds for the best approximations of $q$-ellipsoids by polynomials of degree $n$ in the spaces $S_\phi ^p$ in the case where the approximating polynomials are constructed on the basis of $n$-dimensional subsystems chosen successively from a given orthonormal system ϕ. Знайдено точні значения верхніх меж найкращих наближень поліномами порядку $n$ $q$-еліпсоїдів у просторах $S_\phi ^p$ у випадку, коли наближаючі поліноми будуються за підсистемами розмірності $n$, що вибираються з даної ортонормованої системи ϕ підряд. Institute of Mathematics, NAS of Ukraine 2003-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3941 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 5 (2003); 663-670 Український математичний журнал; Том 55 № 5 (2003); 663-670 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3941/4595 https://umj.imath.kiev.ua/index.php/umj/article/view/3941/4596 Copyright (c) 2003 Rukasov V. I.; Stepanets O. I. |
| spellingShingle | Rukasov, V. I. Stepanets, O. I. Рукасов, В. И. Степанец, А. И. Рукасов, В. И. Степанец, А. И. Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$ |
| title | Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$ |
| title_alt | Наилучшие „сплошные" $n$-членные приближения в
пространствах $S_\phi ^p$ |
| title_full | Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$ |
| title_fullStr | Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$ |
| title_full_unstemmed | Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$ |
| title_short | Best “Continuous” $n$-Term Approximations in the Spaces $S_\phi ^p$ |
| title_sort | best “continuous” $n$-term approximations in the spaces $s_\phi ^p$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3941 |
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