On Some Problems of Polynomial Approximation of Entire Transcendental Functions
For entire transcendental functions of finite generalized order, we obtain limit relations between the growth characteristic indicated above and sequences of their best polynomial approximations in certain Banach spaces (Hardy spaces, Bergman spaces, and spaces \(B\left( {p,q,{\lambda }} \right)\)...
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4155 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510288485285888 |
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| author | Vakarchuk, S. B. Zhir, S. I. Вакарчук, С. Б. Жир, С. И. Вакарчук, С. Б. Жир, С. И. |
| author_facet | Vakarchuk, S. B. Zhir, S. I. Вакарчук, С. Б. Жир, С. И. Вакарчук, С. Б. Жир, С. И. |
| author_sort | Vakarchuk, S. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:23:25Z |
| description | For entire transcendental functions of finite generalized order, we obtain limit relations between the growth characteristic indicated above and sequences of their best polynomial approximations in certain Banach spaces (Hardy spaces, Bergman spaces, and spaces \(B\left( {p,q,{\lambda }} \right)\) ). |
| first_indexed | 2026-03-24T02:54:37Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4155 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:54:37Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/df/38c46ac3f4f7d516a340487fdcb817df.pdf |
| spelling | umjimathkievua-article-41552020-03-18T20:23:25Z On Some Problems of Polynomial Approximation of Entire Transcendental Functions Некоторые вопросы полиномиальной аппроксимации целых трансцендентных функций Vakarchuk, S. B. Zhir, S. I. Вакарчук, С. Б. Жир, С. И. Вакарчук, С. Б. Жир, С. И. For entire transcendental functions of finite generalized order, we obtain limit relations between the growth characteristic indicated above and sequences of their best polynomial approximations in certain Banach spaces (Hardy spaces, Bergman spaces, and spaces \(B\left( {p,q,{\lambda }} \right)\) ). Для цілих трансцендентних функцій скінченного узагальненого порядку одержано граничні співвідношення між вказаною характеристикою зростання та послідовностями ix найкращих поліноміальних наближепь у банахових просторах Харді, Бергмана та \(B\left( {p,q,{\lambda }} \right)\) ). Institute of Mathematics, NAS of Ukraine 2002-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4155 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 9 (2002); 1155-1162 Український математичний журнал; Том 54 № 9 (2002); 1155-1162 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4155/5019 https://umj.imath.kiev.ua/index.php/umj/article/view/4155/5020 Copyright (c) 2002 Vakarchuk S. B.; Zhir S. I. |
| spellingShingle | Vakarchuk, S. B. Zhir, S. I. Вакарчук, С. Б. Жир, С. И. Вакарчук, С. Б. Жир, С. И. On Some Problems of Polynomial Approximation of Entire Transcendental Functions |
| title | On Some Problems of Polynomial Approximation of Entire Transcendental Functions |
| title_alt | Некоторые вопросы полиномиальной аппроксимации целых
трансцендентных функций |
| title_full | On Some Problems of Polynomial Approximation of Entire Transcendental Functions |
| title_fullStr | On Some Problems of Polynomial Approximation of Entire Transcendental Functions |
| title_full_unstemmed | On Some Problems of Polynomial Approximation of Entire Transcendental Functions |
| title_short | On Some Problems of Polynomial Approximation of Entire Transcendental Functions |
| title_sort | on some problems of polynomial approximation of entire transcendental functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4155 |
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