On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation
We investigate one property of a sequence of polynomials of the best approximation in the mean related to the convergence in a neighborhood of every point of regularity of a function on the level line ∂ G R.
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4394 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510524587900928 |
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| author | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. |
| author_facet | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. |
| author_sort | Vakarchuk, S. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:28:25Z |
| description | We investigate one property of a sequence of polynomials of the best approximation in the mean related to the convergence in a neighborhood of every point of regularity of a function on the level line ∂ G R. |
| first_indexed | 2026-03-24T02:58:22Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4394 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:22Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d5/76f1e1b2e4a5aa4dfe670c0e9370d8d5.pdf |
| spelling | umjimathkievua-article-43942020-03-18T20:28:25Z On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation О наилучшем приближении в среднем и сверхсходимости последовательности полиномов наилучшего приближения Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. We investigate one property of a sequence of polynomials of the best approximation in the mean related to the convergence in a neighborhood of every point of regularity of a function on the level line ∂ G R. Досліджується властивість послідовності поліномів найкращого наближення в середньому, пов'язана зі збіжністю в деякому околі кожної точки регулярності функції на лінії рівня ∂ G R. Institute of Mathematics, NAS of Ukraine 2000-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4394 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 1 (2000); 35-45 Український математичний журнал; Том 52 № 1 (2000); 35-45 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4394/5492 https://umj.imath.kiev.ua/index.php/umj/article/view/4394/5493 Copyright (c) 2000 Vakarchuk S. B. |
| spellingShingle | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation |
| title | On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation |
| title_alt | О наилучшем приближении в среднем и сверхсходимости последовательности полиномов наилучшего приближения |
| title_full | On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation |
| title_fullStr | On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation |
| title_full_unstemmed | On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation |
| title_short | On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation |
| title_sort | on the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4394 |
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