On the best $L_1$-approximation of truncated powers by algebraic polynomials
We determine the asymptotic behavior of the best $L_1$-approximations of the kernels $(x - a) + r - 1,\; 1 < r < 2,$ and the classes $W_1^r$ by algebraic polynomials.
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4930 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511112880979968 |
|---|---|
| author | Nitiema, P. K. Нитиема, П. К. Нитиема, П. К. |
| author_facet | Nitiema, P. K. Нитиема, П. К. Нитиема, П. К. |
| author_sort | Nitiema, P. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:17:16Z |
| description | We determine the asymptotic behavior of the best $L_1$-approximations of the kernels $(x - a) + r - 1,\; 1 < r < 2,$ and the classes $W_1^r$ by algebraic polynomials. |
| first_indexed | 2026-03-24T03:07:43Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4930 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:07:43Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/68/b3c3212280b01b9bcf6fe2792ea9e868.pdf |
| spelling | umjimathkievua-article-49302020-03-18T21:17:16Z On the best $L_1$-approximation of truncated powers by algebraic polynomials О наилучшем $L_1$-приближении алгебраическими многочленами усеченных степеней Nitiema, P. K. Нитиема, П. К. Нитиема, П. К. We determine the asymptotic behavior of the best $L_1$-approximations of the kernels $(x - a) + r - 1,\; 1 < r < 2,$ and the classes $W_1^r$ by algebraic polynomials. Встановлено асимптотичну поведінку найкращих $L_1$ -наближень ядер - $(x - a) + r - 1,\; 1 < r < 2,$, і класів $W_1^r$ алгебраїчними многочленами. Institute of Mathematics, NAS of Ukraine 1998-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4930 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 4 (1998); 593-598 Український математичний журнал; Том 50 № 4 (1998); 593-598 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4930/6559 https://umj.imath.kiev.ua/index.php/umj/article/view/4930/6560 Copyright (c) 1998 Nitiema P. K. |
| spellingShingle | Nitiema, P. K. Нитиема, П. К. Нитиема, П. К. On the best $L_1$-approximation of truncated powers by algebraic polynomials |
| title | On the best $L_1$-approximation of truncated powers by algebraic polynomials |
| title_alt | О наилучшем $L_1$-приближении алгебраическими многочленами усеченных степеней |
| title_full | On the best $L_1$-approximation of truncated powers by algebraic polynomials |
| title_fullStr | On the best $L_1$-approximation of truncated powers by algebraic polynomials |
| title_full_unstemmed | On the best $L_1$-approximation of truncated powers by algebraic polynomials |
| title_short | On the best $L_1$-approximation of truncated powers by algebraic polynomials |
| title_sort | on the best $l_1$-approximation of truncated powers by algebraic polynomials |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4930 |
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