Description of Convex Curves
We present a description of convex curves, which enables one to reduce the problem of approximation of a convex curve by piecewise circular lines in the Hausdorff metric to the problem of approximation of 2π-periodic functions by trigonometric splines in the uniform metric. We describe certain prope...
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| Date: | 2000 |
|---|---|
| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4490 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510622340349952 |
|---|---|
| author | Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. |
| author_facet | Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. |
| author_sort | Ligun, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:30:08Z |
| description | We present a description of convex curves, which enables one to reduce the problem of approximation of a convex curve by piecewise circular lines in the Hausdorff metric to the problem of approximation of 2π-periodic functions by trigonometric splines in the uniform metric. We describe certain properties of convex curves. |
| first_indexed | 2026-03-24T02:59:55Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4490 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:59:55Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ff/cb25149af3928c8cdca903bd82befcff.pdf |
| spelling | umjimathkievua-article-44902020-03-18T20:30:08Z Description of Convex Curves Описание выпуклых кривых Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. We present a description of convex curves, which enables one to reduce the problem of approximation of a convex curve by piecewise circular lines in the Hausdorff metric to the problem of approximation of 2π-periodic functions by trigonometric splines in the uniform metric. We describe certain properties of convex curves. Наведено опис опуклих кривих, який дозволяє звести задачу наближення опуклої кривої кусково-коловими лініями в метриці Хаусдорфа до задачі наближення 2 % -періодичних функцій тригонометричними сплайнами в рівномірній метриці. Наведено деякі властивості опуклих кривих. Institute of Mathematics, NAS of Ukraine 2000-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4490 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 7 (2000); 908-922 Український математичний журнал; Том 52 № 7 (2000); 908-922 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4490/5684 https://umj.imath.kiev.ua/index.php/umj/article/view/4490/5685 Copyright (c) 2000 Ligun A. A.; Shumeiko A. A. |
| spellingShingle | Ligun, A. A. Shumeiko, A. A. Лигун, А. А. Шумейко, А. А. Лигун, А. А. Шумейко, А. А. Description of Convex Curves |
| title | Description of Convex Curves |
| title_alt | Описание выпуклых кривых |
| title_full | Description of Convex Curves |
| title_fullStr | Description of Convex Curves |
| title_full_unstemmed | Description of Convex Curves |
| title_short | Description of Convex Curves |
| title_sort | description of convex curves |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4490 |
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