Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions
We describe the domain of analyticity of a continuous function f in terms of the sequence of the best polynomial approximations of f on a compact set K(K ⊂ ℂ) and the sequence of norms of Chebyshev polynomials for K.
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| Дата: | 1996 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1996
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5261 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511475102121984 |
|---|---|
| author | Dovgoshei, A. A. Довгошей, А. А. Довгошей, А. А. |
| author_facet | Dovgoshei, A. A. Довгошей, А. А. Довгошей, А. А. |
| author_sort | Dovgoshei, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:03Z |
| description | We describe the domain of analyticity of a continuous function f in terms of the sequence of the best polynomial approximations of f on a compact set K(K ⊂ ℂ) and the sequence of norms of Chebyshev polynomials for K. |
| first_indexed | 2026-03-24T03:13:29Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5261 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:29Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f2/68bdee75b5eca02fc8962d51801306f2.pdf |
| spelling | umjimathkievua-article-52612020-03-18T21:29:03Z Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions Чебышевская аппроксимация полиномами на замкнутом подмножестве с единственной предельной точкой и аналитическое продолжение функций Dovgoshei, A. A. Довгошей, А. А. Довгошей, А. А. We describe the domain of analyticity of a continuous function f in terms of the sequence of the best polynomial approximations of f on a compact set K(K ⊂ ℂ) and the sequence of norms of Chebyshev polynomials for K. У термінах послідовності найкращих наближень поліномами неперервної функції $f$ на компактній множині $K(K ⊂ ℂ)$ і послідовності норм чебишовських поліномів для $ K$ описана область аналітичності $f$. Institute of Mathematics, NAS of Ukraine 1996-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5261 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 7 (1996); 891-900 Український математичний журнал; Том 48 № 7 (1996); 891-900 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5261/7214 https://umj.imath.kiev.ua/index.php/umj/article/view/5261/7215 Copyright (c) 1996 Dovgoshei A. A. |
| spellingShingle | Dovgoshei, A. A. Довгошей, А. А. Довгошей, А. А. Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions |
| title | Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions |
| title_alt | Чебышевская аппроксимация полиномами на замкнутом
подмножестве с единственной предельной точкой и аналитическое
продолжение функций |
| title_full | Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions |
| title_fullStr | Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions |
| title_full_unstemmed | Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions |
| title_short | Chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions |
| title_sort | chebyshev polynomial approximation on a closed subset with unique limit point and analytic extension of functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5261 |
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