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.

Bibliographic Details
Main Author: Yurii N. Subbotin
Format: Article
Language:English
Published: 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
Series:Ural Mathematical Journal
Subjects:
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
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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.
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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.
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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