Hausdorff diameter of a nonsymmetric class of vector functions
In the space of parametrically determined m-dimensional curves with the Hausdorff metric, we find the diameter of a class of curves whose coordinate functions satisfy the Lipschitz condition on some segment and take fixed values at its endpoints. We obtain the dependence of relations determining the...
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4812 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510986441588736 |
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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 | 2020-03-18T21:14:51Z |
| description | In the space of parametrically determined m-dimensional curves with the Hausdorff metric, we find the diameter of a class of curves whose coordinate functions satisfy the Lipschitz condition on some segment and take fixed values at its endpoints. We obtain the dependence of relations determining the value of the diameter on the evenness of m. |
| first_indexed | 2026-03-24T03:05:43Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4812 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:05:43Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e0/5d104b2e62f025ef36fae8da248b57e0.pdf |
| spelling | umjimathkievua-article-48122020-03-18T21:14:51Z Hausdorff diameter of a nonsymmetric class of vector functions Хаусдорфов диаметр одного несимметричного класса вектор- функций Polovina, A. A. Половина, А. А. Половина, А. А. In the space of parametrically determined m-dimensional curves with the Hausdorff metric, we find the diameter of a class of curves whose coordinate functions satisfy the Lipschitz condition on some segment and take fixed values at its endpoints. We obtain the dependence of relations determining the value of the diameter on the evenness of m. У просторі параметрично заданих $m$—вимірних кривих з хаусдорфовою метрикою знайдено діаметр класа кривих, координатні функції якиих задовольняють умову Ліпшіця па деякому відрізку і мають фіксовані значення на його кінцях. Отримано залежність формул, що визначають величину діаметра, від парності $m$. Institute of Mathematics, NAS of Ukraine 1998-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4812 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 11 (1998); 1570–1573 Український математичний журнал; Том 50 № 11 (1998); 1570–1573 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4812/6323 https://umj.imath.kiev.ua/index.php/umj/article/view/4812/6324 Copyright (c) 1998 Polovina A. A. |
| spellingShingle | Polovina, A. A. Половина, А. А. Половина, А. А. Hausdorff diameter of a nonsymmetric class of vector functions |
| title | Hausdorff diameter of a nonsymmetric class of vector functions |
| title_alt | Хаусдорфов диаметр одного несимметричного класса вектор-
функций |
| title_full | Hausdorff diameter of a nonsymmetric class of vector functions |
| title_fullStr | Hausdorff diameter of a nonsymmetric class of vector functions |
| title_full_unstemmed | Hausdorff diameter of a nonsymmetric class of vector functions |
| title_short | Hausdorff diameter of a nonsymmetric class of vector functions |
| title_sort | hausdorff diameter of a nonsymmetric class of vector functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4812 |
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