Information widths
We introduce the notions of adaptive information widths of a set in a metric space and consider the problem of comparing them with nonadaptive widths. Exact results are obtained for one class of continuous functions that is not centrally symmetric.
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| Date: | 1995 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5541 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865792769386086400 |
|---|---|
| author | Korneichuk, N. P. Корнейчук, Н. П. Корнейчук, Н. П. |
| author_facet | Korneichuk, N. P. Корнейчук, Н. П. Корнейчук, Н. П. |
| author_institution_txt_mv | [
{
"author": "Н. П. Корнейчук",
"institution": null
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] |
| author_sort | Korneichuk, N. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:12Z |
| description | We introduce the notions of adaptive information widths of a set in a metric space and consider the problem of comparing them with nonadaptive widths. Exact results are obtained for one class of continuous functions that is not centrally symmetric. |
| first_indexed | 2026-03-24T03:18:18Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5541 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:18:18Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/15/59b13844c58474a6e8701ad687afc015.pdf |
| spelling | umjimathkievua-article-55412020-03-19T09:13:12Z Information widths Информационные поперечники Korneichuk, N. P. Корнейчук, Н. П. Корнейчук, Н. П. We introduce the notions of adaptive information widths of a set in a metric space and consider the problem of comparing them with nonadaptive widths. Exact results are obtained for one class of continuous functions that is not centrally symmetric. Введені поняття адаптивних інформаційних поперечників множини в метричному просторі та розглядається задача про порівняння їх з неадаптивними поперечниками. Для одного класу неперервних функцій, який не є центрально-симетричним, одержані точні результати. Institute of Mathematics, NAS of Ukraine 1995-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5541 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 11 (1995); 1506–1518 Український математичний журнал; Том 47 № 11 (1995); 1506–1518 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5541/7770 https://umj.imath.kiev.ua/index.php/umj/article/view/5541/7771 Copyright (c) 1995 Korneichuk N. P. |
| spellingShingle | Korneichuk, N. P. Корнейчук, Н. П. Корнейчук, Н. П. Information widths |
| title | Information widths |
| title_alt | Информационные поперечники |
| title_full | Information widths |
| title_fullStr | Information widths |
| title_full_unstemmed | Information widths |
| title_short | Information widths |
| title_sort | information widths |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5541 |
| work_keys_str_mv | AT korneichuknp informationwidths AT kornejčuknp informationwidths AT kornejčuknp informationwidths AT korneichuknp informacionnyepoperečniki AT kornejčuknp informacionnyepoperečniki AT kornejčuknp informacionnyepoperečniki |