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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Article |
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doaj-07a44334d98e4d81816f90c91d27813a2020-11-24T23:18:12ZengKrasovskii 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yurii N. Subbotin |
| spellingShingle |
Yurii N. Subbotin ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS Ural Mathematical Journal One-sided widths Exact orders Classes of smooth functions |
| author_facet |
Yurii N. Subbotin |
| author_sort |
Yurii N. Subbotin |
| title |
ONE-SIDED WIDTHS OF CLASSES OF SMOOTH FUNCTIONS |
| title_short |
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_sort |
one-sided widths of classes of smooth functions |
| 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. |
| series |
Ural Mathematical Journal |
| issn |
2414-3952 |
| publishDate |
2015-12-01 |
| 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. |
| 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 |
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1725581513753362432 |