On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$
We obtain an asymptotic equality for the best approximation of the classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ for convex upwards, regularly varying moduli of continuity.
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| Date: | 1999 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4747 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510912143687680 |
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| author | Kogan, A. M. Коган, А. М. Коган, А. М. |
| author_facet | Kogan, A. M. Коган, А. М. Коган, А. М. |
| author_sort | Kogan, A. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:13:14Z |
| description | We obtain an asymptotic equality for the best approximation of the classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ for convex upwards, regularly varying moduli of continuity. |
| first_indexed | 2026-03-24T03:04:32Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4747 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:04:32Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/35/eb83781fc48f3e05a2f484ae1c492d35.pdf |
| spelling | umjimathkievua-article-47472020-03-18T21:13:14Z On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ К вопросу о наилучшем приближении классов $W^r H^{ω}$ алгебраическими полиномами в пространстве $L_1$ Kogan, A. M. Коган, А. М. Коган, А. М. We obtain an asymptotic equality for the best approximation of the classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ for convex upwards, regularly varying moduli of continuity. Отримано асимптотичну рівність для найкращого наближення класів $W^r H^{ω}$ алгебраїчними поліномами у просторі $L_1$ для опуклих вгору модулів неперервності, що правильно змінюються. Institute of Mathematics, NAS of Ukraine 1999-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4747 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 11 (1999); 1456-1466 Український математичний журнал; Том 51 № 11 (1999); 1456-1466 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4747/6195 https://umj.imath.kiev.ua/index.php/umj/article/view/4747/6196 Copyright (c) 1999 Kogan A. M. |
| spellingShingle | Kogan, A. M. Коган, А. М. Коган, А. М. On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ |
| title | On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ |
| title_alt | К вопросу о наилучшем приближении классов $W^r H^{ω}$ алгебраическими
полиномами в пространстве $L_1$ |
| title_full | On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ |
| title_fullStr | On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ |
| title_full_unstemmed | On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ |
| title_short | On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ |
| title_sort | on the best approximation of classes $w^r h^{ω}$ by algebraic polynomials in the space $l_1$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4747 |
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