On the optimal coding of one class of vector functions
We consider the problem of coding of parametrically defined vector functions by continuous functionals which act on their coordinate functions. We obtain the optimal method for coding some class of vector functions. In the linear case, we show the relation between this method and the informativeness...
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| Datum: | 1997 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5168 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511378015518720 |
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| author | Polovina, A. A. Половина, А. А. Половина, А. А. |
| author_facet | Polovina, A. A. Половина, А. А. Половина, А. А. |
| author_sort | Polovina, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:26:15Z |
| description | We consider the problem of coding of parametrically defined vector functions by continuous functionals which act on their coordinate functions. We obtain the optimal method for coding some class of vector functions. In the linear case, we show the relation between this method and the informativeness of functionals with respect to the class of coordinate functions. |
| first_indexed | 2026-03-24T03:11:56Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5168 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:56Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/30/1c1b911be5f71b8a623350f5e0668c30.pdf |
| spelling | umjimathkievua-article-51682020-03-18T21:26:15Z On the optimal coding of one class of vector functions Об оптимальном кодировании одного класса вектор-функций Polovina, A. A. Половина, А. А. Половина, А. А. We consider the problem of coding of parametrically defined vector functions by continuous functionals which act on their coordinate functions. We obtain the optimal method for coding some class of vector functions. In the linear case, we show the relation between this method and the informativeness of functionals with respect to the class of coordinate functions. Розглянуто питання кодування параметрично заданих вектор-функцій неперервними функціоналами, що діють на їх координатні функції. Отримано оптимальний метод кодування для деякого класу вектор-функцій і у лінійному випадку показано зв'язок між ним та інформативністю функціоналів відносно класу координатних функцій. Institute of Mathematics, NAS of Ukraine 1997-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5168 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 12 (1997); 1638–1645 Український математичний журнал; Том 49 № 12 (1997); 1638–1645 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5168/7032 https://umj.imath.kiev.ua/index.php/umj/article/view/5168/7033 Copyright (c) 1997 Polovina A. A. |
| spellingShingle | Polovina, A. A. Половина, А. А. Половина, А. А. On the optimal coding of one class of vector functions |
| title | On the optimal coding of one class of vector functions |
| title_alt | Об оптимальном кодировании одного класса вектор-функций |
| title_full | On the optimal coding of one class of vector functions |
| title_fullStr | On the optimal coding of one class of vector functions |
| title_full_unstemmed | On the optimal coding of one class of vector functions |
| title_short | On the optimal coding of one class of vector functions |
| title_sort | on the optimal coding of one class of vector functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5168 |
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