A Kolmogorov type criterion for the best approximating operator
For the best approximating operator, a criterion is established, equivalent to the well known Kolmogorov theorem, which characterizes the best approximation element. The practical use of this criterion is illustrated by examples.
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| Date: | 1993 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5789 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865793038262992896 |
|---|---|
| author | Tyrygin, I. Ya. Тырыгин, И. Я. Тырыгин, И. Я. |
| author_facet | Tyrygin, I. Ya. Тырыгин, И. Я. Тырыгин, И. Я. |
| author_institution_txt_mv | [
{
"author": "И. Я. Тырыгин",
"institution": null
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| author_sort | Tyrygin, I. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:17:59Z |
| description | For the best approximating operator, a criterion is established, equivalent to the well known Kolmogorov theorem, which characterizes the best approximation element. The practical use of this criterion is illustrated by examples. |
| first_indexed | 2026-03-24T03:21:59Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5789 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:21:59Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/31/5ab76e4c5882d4198da9e9bff8fe4e31.pdf |
| spelling | umjimathkievua-article-57892020-03-19T09:17:59Z A Kolmogorov type criterion for the best approximating operator Критерий колмогоровского типа для оператора наилучшего приближения Tyrygin, I. Ya. Тырыгин, И. Я. Тырыгин, И. Я. For the best approximating operator, a criterion is established, equivalent to the well known Kolmogorov theorem, which characterizes the best approximation element. The practical use of this criterion is illustrated by examples. Встановлено критерій для оператора найкращого наближення, рівносильний відомій теоремі А. М. Колмогорова, що характеризує елемент найкращого наближення. Практичне використання критерію проілюстроване прикладами. Institute of Mathematics, NAS of Ukraine 1993-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5789 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 1 (1993); 114–119 Український математичний журнал; Том 45 № 1 (1993); 114–119 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5789/8262 https://umj.imath.kiev.ua/index.php/umj/article/view/5789/8263 Copyright (c) 1993 Tyrygin I. Ya. |
| spellingShingle | Tyrygin, I. Ya. Тырыгин, И. Я. Тырыгин, И. Я. A Kolmogorov type criterion for the best approximating operator |
| title | A Kolmogorov type criterion for the best approximating operator |
| title_alt | Критерий колмогоровского типа для оператора наилучшего приближения |
| title_full | A Kolmogorov type criterion for the best approximating operator |
| title_fullStr | A Kolmogorov type criterion for the best approximating operator |
| title_full_unstemmed | A Kolmogorov type criterion for the best approximating operator |
| title_short | A Kolmogorov type criterion for the best approximating operator |
| title_sort | kolmogorov type criterion for the best approximating operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5789 |
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