On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials
We present a survey of results obtained for the last decade in the field of approximation of specific functions and classes of functions by algebraic polynomials in the spaces C and L 1 and approximation with regard for the location of a point on an interval.
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| Datum: | 2000 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4399 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510529629454336 |
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| author | Motornaya, O. V. Motornyi, V. P. Моторная, О. В. Моторный, В. П. Моторная, О. В. Моторный, В. П. |
| author_facet | Motornaya, O. V. Motornyi, V. P. Моторная, О. В. Моторный, В. П. Моторная, О. В. Моторный, В. П. |
| author_sort | Motornaya, O. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:28:25Z |
| description | We present a survey of results obtained for the last decade in the field of approximation of specific functions and classes of functions by algebraic polynomials in the spaces C and L 1 and approximation with regard for the location of a point on an interval. |
| first_indexed | 2026-03-24T02:58:27Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4399 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:27Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/76/080b0837fee5ff2408d213a84c3bb376.pdf |
| spelling | umjimathkievua-article-43992020-03-18T20:28:25Z On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials Об асимптотически точных оценках приближения алгебраическими многочленами некоторых классов функций Motornaya, O. V. Motornyi, V. P. Моторная, О. В. Моторный, В. П. Моторная, О. В. Моторный, В. П. We present a survey of results obtained for the last decade in the field of approximation of specific functions and classes of functions by algebraic polynomials in the spaces C and L 1 and approximation with regard for the location of a point on an interval. Наведено огляд результатів, отриманих за останнє десятиріччя, про наближення алгебраїчними многочленами деяких функцій і класів функцій у просторах $C$ та $L_1$, а також про наближення з урахуванням положення точки на відрізку. Institute of Mathematics, NAS of Ukraine 2000-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4399 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 1 (2000); 85-99 Український математичний журнал; Том 52 № 1 (2000); 85-99 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4399/5502 https://umj.imath.kiev.ua/index.php/umj/article/view/4399/5503 Copyright (c) 2000 Motornaya O. V.; Motornyi V. P. |
| spellingShingle | Motornaya, O. V. Motornyi, V. P. Моторная, О. В. Моторный, В. П. Моторная, О. В. Моторный, В. П. On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials |
| title | On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials |
| title_alt | Об асимптотически точных оценках приближения
алгебраическими многочленами некоторых классов функций |
| title_full | On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials |
| title_fullStr | On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials |
| title_full_unstemmed | On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials |
| title_short | On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials |
| title_sort | on asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4399 |
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