Behaviour of derivatives of the spline-interpolation error
Assertions are proved clarifying the character of the behavior of the derivatives of the error of interpolation of differentiable periodic functions by splines with respect to the corresponding derivatives of the standard perfect spline determining the error on the entire class of functions.
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| Datum: | 1991 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9307 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513487950708736 |
|---|---|
| author | Korneichuk , N. P. Корнейчук , Н. П. |
| author_facet | Korneichuk , N. P. Корнейчук , Н. П. |
| author_sort | Korneichuk , N. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-06-19T08:20:09Z |
| description | Assertions are proved clarifying the character of the behavior of the derivatives of the error of interpolation of differentiable periodic functions by splines with respect to the corresponding derivatives of the standard perfect spline determining the error on the entire class of functions. |
| first_indexed | 2026-03-24T03:45:28Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-9307 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:28Z |
| publishDate | 1991 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f4/175c7a7487000333e272b9fb8f3911f4 |
| spelling | umjimathkievua-article-93072025-06-19T08:20:09Z Behaviour of derivatives of the spline-interpolation error О поведении производных погрешности сплайн-интерполирования Korneichuk , N. P. Корнейчук , Н. П. Assertions are proved clarifying the character of the behavior of the derivatives of the error of interpolation of differentiable periodic functions by splines with respect to the corresponding derivatives of the standard perfect spline determining the error on the entire class of functions. Доказываются утверждения, выясняющие характер поведения производных погрешности интерполирования дифференцируемых периодических функций сплайнами по отношению к соответствующим производным стандартного совершенного сплайна, определяющего погрешность на всем классе функций. Доводяться твердження, які висвітлюють характер поведінки похідних похибки інтерполяції диференційовних періодичних функцій сплайнами у відношенні до відповідних похідних стандартного ідеального сплайну, що визначає похибку на усьому класі функцій. Institute of Mathematics, NAS of Ukraine 1991-01-18 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9307 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 1 (1991); 67-72 Український математичний журнал; Том 43 № 1 (1991); 67-72 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9307/10482 Copyright (c) 1991 Н. П. Корнейчук |
| spellingShingle | Korneichuk , N. P. Корнейчук , Н. П. Behaviour of derivatives of the spline-interpolation error |
| title | Behaviour of derivatives of the spline-interpolation error |
| title_alt | О поведении производных погрешности сплайн-интерполирования |
| title_full | Behaviour of derivatives of the spline-interpolation error |
| title_fullStr | Behaviour of derivatives of the spline-interpolation error |
| title_full_unstemmed | Behaviour of derivatives of the spline-interpolation error |
| title_short | Behaviour of derivatives of the spline-interpolation error |
| title_sort | behaviour of derivatives of the spline-interpolation error |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9307 |
| work_keys_str_mv | AT korneichuknp behaviourofderivativesofthesplineinterpolationerror AT kornejčuknp behaviourofderivativesofthesplineinterpolationerror AT korneichuknp opovedeniiproizvodnyhpogrešnostisplajninterpolirovaniâ AT kornejčuknp opovedeniiproizvodnyhpogrešnostisplajninterpolirovaniâ |