The best polynomial approximation of functions analytical in the single circle
In the Banach space $ℬ(p,q, \lambda)$, studied by M. I. Gvaradze, we establish a relation between the best polynomial approximation of an entire transcendental function and such important characteristics as its order of growth and its type.
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| Date: | 1990 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1990
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8849 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513334181232640 |
|---|---|
| author | Vakarchuk, S. B. Вакарчук, С. Б. |
| author_facet | Vakarchuk, S. B. Вакарчук, С. Б. |
| author_sort | Vakarchuk, S. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | In the Banach space $ℬ(p,q, \lambda)$, studied by M. I. Gvaradze, we establish a relation between the best polynomial approximation of an entire transcendental function and such important characteristics as its order of growth and its type. |
| first_indexed | 2026-03-24T03:43:02Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8849 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:43:02Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f7/588a73be679cb405447f4d2aa75f4af7.pdf |
| spelling | umjimathkievua-article-88492024-11-14T10:10:56Z The best polynomial approximation of functions analytical in the single circle О наилучшем полиномиальном приближении аналитических в единичном круге функций Vakarchuk, S. B. Вакарчук, С. Б. In the Banach space $ℬ(p,q, \lambda)$, studied by M. I. Gvaradze, we establish a relation between the best polynomial approximation of an entire transcendental function and such important characteristics as its order of growth and its type. В банаховом пространстве, $ ℬ (p, q, \lambda)$, изучавшемся M. И. Гварадзе, установлены связи между наилучшим полиномиальным приближением целой трансцендентной функции и такими ее важными характеристиками, как порядок роста и тип. У банаховому просторі $ ℬ (p, q, \lambda)$, який вивчався М. І. Гварадзе, встановлені зв’язки між найкращим поліноміальним наближенням цілої трансцендентної функції та такими її важливими характеристиками, як порядок зростання і тип. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8849 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 838-843 Український математичний журнал; Том 42 № 6 (1990); 838-843 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8849/10269 Copyright (c) 1990 S. B. Vakarchuk |
| spellingShingle | Vakarchuk, S. B. Вакарчук, С. Б. The best polynomial approximation of functions analytical in the single circle |
| title | The best polynomial approximation of functions analytical in the single circle |
| title_alt | О наилучшем полиномиальном приближении аналитических в единичном круге функций |
| title_full | The best polynomial approximation of functions analytical in the single circle |
| title_fullStr | The best polynomial approximation of functions analytical in the single circle |
| title_full_unstemmed | The best polynomial approximation of functions analytical in the single circle |
| title_short | The best polynomial approximation of functions analytical in the single circle |
| title_sort | best polynomial approximation of functions analytical in the single circle |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8849 |
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