An analog of the rolle theorem for differential operators and $L$-spline interpolation
An analog of the Rolle theorem is established for linear differential operators with continuous periodic coefficients. By using this result, exact values of the deviations of interpolational $L$-splines are obtained on certain classes of functions given by a linear differential operator.
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| Datum: | 1993 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5909 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512127903596544 |
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| author | Novikov, S. I. Новиков, С. И. Новиков, С. И. |
| author_facet | Novikov, S. I. Новиков, С. И. Новиков, С. И. |
| author_sort | Novikov, S. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:26Z |
| description | An analog of the Rolle theorem is established for linear differential operators with continuous periodic coefficients. By using this result, exact values of the deviations of interpolational $L$-splines are obtained on certain classes of functions given by a linear differential operator. |
| first_indexed | 2026-03-24T03:23:51Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5909 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:51Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/bc/688b9a8d80cf5fab55ce636c1eda80bc.pdf |
| spelling | umjimathkievua-article-59092020-03-19T09:20:26Z An analog of the rolle theorem for differential operators and $L$-spline interpolation Аналог теоремы Ролл я для дифференциальных операторов и интерполирование $L$-сплайнами Novikov, S. I. Новиков, С. И. Новиков, С. И. An analog of the Rolle theorem is established for linear differential operators with continuous periodic coefficients. By using this result, exact values of the deviations of interpolational $L$-splines are obtained on certain classes of functions given by a linear differential operator. Одержано аналог теореми Ролля для лінійних диференціальних операторів з неперервними періодичними коефіцієнтами. За його допомогою знайдені точні значення відхилень інтерполяційних періодичних $L$-сплайнів на деяких класах функцій, які задаються лінійним диференціальним оператором. Institute of Mathematics, NAS of Ukraine 1993-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5909 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 8 (1993); 1122–1128 Український математичний журнал; Том 45 № 8 (1993); 1122–1128 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5909/8501 https://umj.imath.kiev.ua/index.php/umj/article/view/5909/8502 Copyright (c) 1993 Novikov S. I. |
| spellingShingle | Novikov, S. I. Новиков, С. И. Новиков, С. И. An analog of the rolle theorem for differential operators and $L$-spline interpolation |
| title | An analog of the rolle theorem for differential operators and $L$-spline interpolation |
| title_alt | Аналог теоремы Ролл я для дифференциальных операторов и интерполирование $L$-сплайнами |
| title_full | An analog of the rolle theorem for differential operators and $L$-spline interpolation |
| title_fullStr | An analog of the rolle theorem for differential operators and $L$-spline interpolation |
| title_full_unstemmed | An analog of the rolle theorem for differential operators and $L$-spline interpolation |
| title_short | An analog of the rolle theorem for differential operators and $L$-spline interpolation |
| title_sort | analog of the rolle theorem for differential operators and $l$-spline interpolation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5909 |
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