On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$
An asymptotically exact estimate is obtained for the best approximations of $r$ times differentiable functions by algebraic polynomials in the space $L_1$.
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| Date: | 1993 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5874 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512093941268480 |
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| author | Motornaya, O. V. Моторная, О. В. Моторная, О. В. |
| author_facet | Motornaya, O. V. Моторная, О. В. Моторная, О. В. |
| author_sort | Motornaya, O. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:19:41Z |
| description | An asymptotically exact estimate is obtained for the best approximations of $r$ times differentiable functions by algebraic polynomials in the space $L_1$. |
| first_indexed | 2026-03-24T03:23:19Z |
| format | Article |
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| id | umjimathkievua-article-5874 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:19Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/3b/d8855d77b81021d282c9425e7f362a3b.pdf |
| spelling | umjimathkievua-article-58742020-03-19T09:19:41Z On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$ Об асимптотической оценке наилучших приближений дифференцируемых функций алгебраическими многочленами в пространстве $L_1$ Motornaya, O. V. Моторная, О. В. Моторная, О. В. An asymptotically exact estimate is obtained for the best approximations of $r$ times differentiable functions by algebraic polynomials in the space $L_1$. Одержана асимптотично точна оцінка найкращих наближень $r$ разів диференційовних функцій алгебраїчними многочленами у просторі $L_1$. Institute of Mathematics, NAS of Ukraine 1993-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5874 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 6 (1993); 859–862 Український математичний журнал; Том 45 № 6 (1993); 859–862 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5874/8431 https://umj.imath.kiev.ua/index.php/umj/article/view/5874/8432 Copyright (c) 1993 Motornaya O. V. |
| spellingShingle | Motornaya, O. V. Моторная, О. В. Моторная, О. В. On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$ |
| title | On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$ |
| title_alt | Об асимптотической оценке наилучших приближений дифференцируемых функций алгебраическими многочленами в пространстве $L_1$ |
| title_full | On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$ |
| title_fullStr | On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$ |
| title_full_unstemmed | On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$ |
| title_short | On the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $L_1$ |
| title_sort | on the asymptotic estimates of the best approximations of differentiable functions by algebraić polynomials in the space $l_1$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5874 |
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