Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$

We find exact values of the best approximations and basic widths of $q$-ellipsoids in the spaces $S_{ϕ}^{p,μ}$ for $q > p > 0$.

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Date:2004
Main Authors: Stepanets, O. I., Степанец, А. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3850
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Stepanets, O. I.
Степанец, А. И.
Степанец, А. И.
author_facet Stepanets, O. I.
Степанец, А. И.
Степанец, А. И.
author_sort Stepanets, O. I.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-18T20:12:30Z
description We find exact values of the best approximations and basic widths of $q$-ellipsoids in the spaces $S_{ϕ}^{p,μ}$ for $q > p > 0$.
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spelling umjimathkievua-article-38502020-03-18T20:12:30Z Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$ Наилучшие приближения $q$-эллипеондов в пространствах $S_{ϕ}^{p,μ}$ Stepanets, O. I. Степанец, А. И. Степанец, А. И. We find exact values of the best approximations and basic widths of $q$-ellipsoids in the spaces $S_{ϕ}^{p,μ}$ for $q > p > 0$. Знайдено точні значення найкращих наближень та базисних поперечників $q$-еліпсоїдів у просторах $S_{ϕ}^{p,μ}$ при $q > p > 0$. Institute of Mathematics, NAS of Ukraine 2004-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3850 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 10 (2004); 1378-1383 Український математичний журнал; Том 56 № 10 (2004); 1378-1383 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3850/4419 https://umj.imath.kiev.ua/index.php/umj/article/view/3850/4420 Copyright (c) 2004 Stepanets O. I.
spellingShingle Stepanets, O. I.
Степанец, А. И.
Степанец, А. И.
Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
title Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
title_alt Наилучшие приближения $q$-эллипеондов в пространствах $S_{ϕ}^{p,μ}$
title_full Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
title_fullStr Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
title_full_unstemmed Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
title_short Best Approximations of $q$-Ellipsoids in Spaces $S_{ϕ}^{p,μ}$
title_sort best approximations of $q$-ellipsoids in spaces $s_{ϕ}^{p,μ}$
url https://umj.imath.kiev.ua/index.php/umj/article/view/3850
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