Exact values of widths for certain functional classes

For classes of functions analytic in a unit circle in a Hardy-Banach space, we obtain exact values of Kolmogorov widths in the case where the metrics of the class and the space do not coincide.

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Bibliographic Details
Date:1996
Main Authors: Vakarchuk, S. B., Вакарчук, С. Б.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5372
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Vakarchuk, S. B.
Вакарчук, С. Б.
author_facet Vakarchuk, S. B.
Вакарчук, С. Б.
author_sort Vakarchuk, S. B.
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datestamp_date 2020-03-18T21:31:25Z
description For classes of functions analytic in a unit circle in a Hardy-Banach space, we obtain exact values of Kolmogorov widths in the case where the metrics of the class and the space do not coincide.
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spelling umjimathkievua-article-53722020-03-18T21:31:25Z Exact values of widths for certain functional classes Точные значения поперечников некоторых функциональных классов Vakarchuk, S. B. Вакарчук, С. Б. For classes of functions analytic in a unit circle in a Hardy-Banach space, we obtain exact values of Kolmogorov widths in the case where the metrics of the class and the space do not coincide. Для класів аналітичних в одиничному колі функцій в банаховому просторі Харді одержано точні значення колмогоровського поперечника при неспівпаданні метрики класу і простору. Institute of Mathematics, NAS of Ukraine 1996-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5372 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 1 (1996); 133-135 Український математичний журнал; Том 48 № 1 (1996); 133-135 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5372/7435 https://umj.imath.kiev.ua/index.php/umj/article/view/5372/7436 Copyright (c) 1996 Vakarchuk S. B.
spellingShingle Vakarchuk, S. B.
Вакарчук, С. Б.
Exact values of widths for certain functional classes
title Exact values of widths for certain functional classes
title_alt Точные значения поперечников некоторых функциональных классов
title_full Exact values of widths for certain functional classes
title_fullStr Exact values of widths for certain functional classes
title_full_unstemmed Exact values of widths for certain functional classes
title_short Exact values of widths for certain functional classes
title_sort exact values of widths for certain functional classes
url https://umj.imath.kiev.ua/index.php/umj/article/view/5372
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