Generalization of some extremal properties of splines

We generalize well-known inequalities for the norms of the derivatives of periodic splines with minimal defect, perfect splines, and monosplines.

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Date:1995
Main Authors: Babenko, V. F., Ligun, A. A., Бабенко, В. Ф., Лигун, А. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1995
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5430
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Babenko, V. F.
Ligun, A. A.
Бабенко, В. Ф.
Лигун, А. А.
Бабенко, В. Ф.
Лигун, А. А.
author_facet Babenko, V. F.
Ligun, A. A.
Бабенко, В. Ф.
Лигун, А. А.
Бабенко, В. Ф.
Лигун, А. А.
author_sort Babenko, V. F.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-19T08:59:05Z
description We generalize well-known inequalities for the norms of the derivatives of periodic splines with minimal defect, perfect splines, and monosplines.
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spelling umjimathkievua-article-54302020-03-19T08:59:05Z Generalization of some extremal properties of splines Обобщение некоторых экстремальных свойств сплайнов Babenko, V. F. Ligun, A. A. Бабенко, В. Ф. Лигун, А. А. Бабенко, В. Ф. Лигун, А. А. We generalize well-known inequalities for the norms of the derivatives of periodic splines with minimal defect, perfect splines, and monosplines. Одержані нерівності, що узагальнюють відомі нерівності для норм похідних періодичних сплайнів з мінімальним дефектом, ідеальних сплайнів та моноснлайнів. Institute of Mathematics, NAS of Ukraine 1995-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5430 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 3 (1995); 403–407 Український математичний журнал; Том 47 № 3 (1995); 403–407 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5430/7549 https://umj.imath.kiev.ua/index.php/umj/article/view/5430/7550 Copyright (c) 1995 Babenko V. F.; Ligun A. A.
spellingShingle Babenko, V. F.
Ligun, A. A.
Бабенко, В. Ф.
Лигун, А. А.
Бабенко, В. Ф.
Лигун, А. А.
Generalization of some extremal properties of splines
title Generalization of some extremal properties of splines
title_alt Обобщение некоторых экстремальных свойств сплайнов
title_full Generalization of some extremal properties of splines
title_fullStr Generalization of some extremal properties of splines
title_full_unstemmed Generalization of some extremal properties of splines
title_short Generalization of some extremal properties of splines
title_sort generalization of some extremal properties of splines
url https://umj.imath.kiev.ua/index.php/umj/article/view/5430
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