ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS
One-sided widths of the classes of functions Wpr [0,1] in the metric Lq [0,1], 1≤ p, q ≤ ∞, r ≥ 1 are studied. Such widths are defined similarly to Kolmogorov widths with additional constraints on the approximating functions.
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Format: | Article |
Language: | English |
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Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.
2015-12-01
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Series: | Ural Mathematical Journal |
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Online Access: | https://umjuran.ru/index.php/umj/article/view/20 |
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author | Yurii N. Subbotin |
author_facet | Yurii N. Subbotin |
author_sort | Yurii N. Subbotin |
collection | DOAJ |
description | One-sided widths of the classes of functions Wpr [0,1] in the metric Lq [0,1], 1≤ p, q ≤ ∞, r ≥ 1 are studied. Such widths are defined similarly to Kolmogorov widths with additional constraints on the approximating functions. |
first_indexed | 2024-12-20T11:49:21Z |
format | Article |
id | doaj.art-07a44334d98e4d81816f90c91d27813a |
institution | Directory Open Access Journal |
issn | 2414-3952 |
language | English |
last_indexed | 2024-12-20T11:49:21Z |
publishDate | 2015-12-01 |
publisher | Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. |
record_format | Article |
series | Ural Mathematical Journal |
spelling | doaj.art-07a44334d98e4d81816f90c91d27813a2022-12-21T19:41:49ZengKrasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin.Ural Mathematical Journal2414-39522015-12-011110.15826/umj.2015.1.0087ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONSYurii N. Subbotin0Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences; Institute of Mathematics and Computer Science, Ural Federal UniversityOne-sided widths of the classes of functions Wpr [0,1] in the metric Lq [0,1], 1≤ p, q ≤ ∞, r ≥ 1 are studied. Such widths are defined similarly to Kolmogorov widths with additional constraints on the approximating functions.https://umjuran.ru/index.php/umj/article/view/20One-sided widthsExact ordersClasses of smooth functions |
spellingShingle | Yurii N. Subbotin ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS Ural Mathematical Journal One-sided widths Exact orders Classes of smooth functions |
title | ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS |
title_full | ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS |
title_fullStr | ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS |
title_full_unstemmed | ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS |
title_short | ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS |
title_sort | one sided widths of classes of smooth functions |
topic | One-sided widths Exact orders Classes of smooth functions |
url | https://umjuran.ru/index.php/umj/article/view/20 |
work_keys_str_mv | AT yuriinsubbotin onesidedwidthsofclassesofsmoothfunctions |