Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions
By using the classical Hadamard theorem, we obtain an exact (in a certain sense) inequality for the best polynomial approximations of an analytic function f(z) from the Hardy space H p, p ≥ 1, in disks of radii ρ, ρ1, and ρ2, 0 < ρ1 < ρ < ρ2 < 1.
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| Дата: | 2001 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2001
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4241 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510370426257408 |
|---|---|
| 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 | 2020-03-18T20:25:08Z |
| description | By using the classical Hadamard theorem, we obtain an exact (in a certain sense) inequality for the best polynomial approximations of an analytic function f(z) from the Hardy space H p, p ≥ 1, in disks of radii ρ, ρ1, and ρ2, 0 < ρ1 < ρ < ρ2 < 1. |
| first_indexed | 2026-03-24T02:55:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4241 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:55:55Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fd/12c91cb97d189100f381f9cceac34cfd.pdf |
| spelling | umjimathkievua-article-42412020-03-18T20:25:08Z Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions Связь теоремы Адамара о трех кругах с некоторыми вопросами полиномиальной аппроксимации аналитических функций Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. By using the classical Hadamard theorem, we obtain an exact (in a certain sense) inequality for the best polynomial approximations of an analytic function f(z) from the Hardy space H p, p ≥ 1, in disks of radii ρ, ρ1, and ρ2, 0 < ρ1 < ρ < ρ2 < 1. За допомогою класичної теореми Адамара одержано в певному розумінні точну нерівність між найкращими поліпоміальиими наближеннями аналітичної функції $f(z)$ з простору Харді $H_p, p ≥ 1$, у кругах радіусів $ρ, ρ_1$ та $ρ_2, 0 < ρ_1 < ρ < ρ_2 < 1$. Institute of Mathematics, NAS of Ukraine 2001-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4241 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 2 (2001); 250-254 Український математичний журнал; Том 53 № 2 (2001); 250-254 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4241/5186 https://umj.imath.kiev.ua/index.php/umj/article/view/4241/5187 Copyright (c) 2001 Vakarchuk S. B. |
| spellingShingle | Vakarchuk, S. B. Вакарчук, С. Б. Вакарчук, С. Б. Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions |
| title | Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions |
| title_alt | Связь теоремы Адамара о трех кругах с некоторыми вопросами полиномиальной аппроксимации аналитических функций |
| title_full | Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions |
| title_fullStr | Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions |
| title_full_unstemmed | Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions |
| title_short | Relationship between the Hadamard Theorem on Three Disks and Certain Problems of Polynomial Approximation of Analytic Functions |
| title_sort | relationship between the hadamard theorem on three disks and certain problems of polynomial approximation of analytic functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4241 |
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