Informativeness of functionals
We introduce the concept of informativeness of a continuous functional on a metric spaceX with respect to a setM?X and a metric ?x. We pose the problem of finding the most informative functional. For some sets of continuous functions, this problem is solved by reduction to a subset of functionals gi...
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5632 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511861941731328 |
|---|---|
| author | Korneichuk, N. P. Корнійчук, М. П. |
| author_facet | Korneichuk, N. P. Корнійчук, М. П. |
| author_sort | Korneichuk, N. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:58Z |
| description | We introduce the concept of informativeness of a continuous functional on a metric spaceX with respect to a setM?X and a metric ?x. We pose the problem of finding the most informative functional. For some sets of continuous functions, this problem is solved by reduction to a subset of functionals given by the value of a function at a certain point. |
| first_indexed | 2026-03-24T03:19:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5632 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:38Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b6/06d073fa3e0ebeb7be64eed6155b98b6.pdf |
| spelling | umjimathkievua-article-56322020-03-19T09:14:58Z Informativeness of functionals Информативность функционалов Korneichuk, N. P. Корнійчук, М. П. We introduce the concept of informativeness of a continuous functional on a metric spaceX with respect to a setM?X and a metric ?x. We pose the problem of finding the most informative functional. For some sets of continuous functions, this problem is solved by reduction to a subset of functionals given by the value of a function at a certain point. We introduce the concept of informativeness of a continuous functional given on a metric space $X$ with respect to a set $\mathfrak{M} \subset X$ and a metric $\rho _X$. The problem of finding a functional with the greatest informaiveness is stated. For some sets of continuous functions, this problem is solved by reducing to a subset of functional given by a value of a function at a point. Institute of Mathematics, NAS of Ukraine 1994-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5632 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 9 (1994); 1156–1163 Український математичний журнал; Том 46 № 9 (1994); 1156–1163 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5632/7949 https://umj.imath.kiev.ua/index.php/umj/article/view/5632/7950 Copyright (c) 1994 Korneichuk N. P. |
| spellingShingle | Korneichuk, N. P. Корнійчук, М. П. Informativeness of functionals |
| title | Informativeness of functionals |
| title_alt | Информативность функционалов |
| title_full | Informativeness of functionals |
| title_fullStr | Informativeness of functionals |
| title_full_unstemmed | Informativeness of functionals |
| title_short | Informativeness of functionals |
| title_sort | informativeness of functionals |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5632 |
| work_keys_str_mv | AT korneichuknp informativenessoffunctionals AT korníjčukmp informativenessoffunctionals AT korneichuknp informativnostʹfunkcionalov AT korníjčukmp informativnostʹfunkcionalov |