Inequalities for polynomial splines
We establish exact estimates for the variation on a period of the derivative s (r)(t) of a periodic polynomial spline s(t) of degree r and defect 1 with respect to a fixed partition of [0, 2π) under the condition that \(\left\| {s^{(r)} } \right\|_X = 1\) , where X=C or L 1
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4397 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865791525586206720 |
|---|---|
| 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 | [
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"author": "Н. П. Корнейчук",
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| author_sort | Korneichuk, N. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:28:25Z |
| description | We establish exact estimates for the variation on a period of the derivative s (r)(t) of a periodic polynomial spline s(t) of degree r and defect 1 with respect to a fixed partition of [0, 2π) under the condition that \(\left\| {s^{(r)} } \right\|_X = 1\) , where X=C or L 1 |
| first_indexed | 2026-03-24T02:58:25Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4397 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:25Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/36/939f8eaca9b805e2b2c209e0f9800f36.pdf |
| spelling | umjimathkievua-article-43972020-03-18T20:28:25Z Inequalities for polynomial splines Неравенства для полиномиальных сплайнов Korneichuk, N. P. Корнейчук, Н. П. Корнейчук, Н. П. We establish exact estimates for the variation on a period of the derivative s (r)(t) of a periodic polynomial spline s(t) of degree r and defect 1 with respect to a fixed partition of [0, 2π) under the condition that \(\left\| {s^{(r)} } \right\|_X = 1\) , where X=C or L 1 Знайдено точні оцінки варіації похідної $s^{(r)}(t)$ на періоді періодичного поліноміального сплайна $s(t)$ порядку $r$ дефекту 1 за фіксованим розбиттям $[0, 2π)$ та при умові $\left\| {s^{(r)} } \right\|_X = 1$ або $X=C$ або $L_1$ Institute of Mathematics, NAS of Ukraine 2000-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4397 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 1 (2000); 58-65 Український математичний журнал; Том 52 № 1 (2000); 58-65 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4397/5498 https://umj.imath.kiev.ua/index.php/umj/article/view/4397/5499 Copyright (c) 2000 Korneichuk N. P. |
| spellingShingle | Korneichuk, N. P. Корнейчук, Н. П. Корнейчук, Н. П. Inequalities for polynomial splines |
| title | Inequalities for polynomial splines |
| title_alt | Неравенства для полиномиальных сплайнов |
| title_full | Inequalities for polynomial splines |
| title_fullStr | Inequalities for polynomial splines |
| title_full_unstemmed | Inequalities for polynomial splines |
| title_short | Inequalities for polynomial splines |
| title_sort | inequalities for polynomial splines |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4397 |
| work_keys_str_mv | AT korneichuknp inequalitiesforpolynomialsplines AT kornejčuknp inequalitiesforpolynomialsplines AT kornejčuknp inequalitiesforpolynomialsplines AT korneichuknp neravenstvadlâpolinomialʹnyhsplajnov AT kornejčuknp neravenstvadlâpolinomialʹnyhsplajnov AT kornejčuknp neravenstvadlâpolinomialʹnyhsplajnov |