On obtaining exact estimates for the derivative of the error of spline interpolation
Using new facts on the behavior of derivatives in spline interpolation, we give a proof for exact estimates of the error in approximating the first derivative.
Gespeichert in:
| Datum: | 2025 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2025
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9358 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513511531085824 |
|---|---|
| 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 | 2025-06-30T14:20:55Z |
| description | Using new facts on the behavior of derivatives in spline interpolation, we give a proof for exact estimates of the error in approximating the first derivative. |
| first_indexed | 2026-03-24T03:45:51Z |
| format | Article |
| fulltext |
0045
0046
0047
0048
0049-k
|
| id | umjimathkievua-article-9358 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:45:51Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c8/201fb4f86f3636c168749f5c7d98bfc8.pdf |
| spelling | umjimathkievua-article-93582025-06-30T14:20:55Z On obtaining exact estimates for the derivative of the error of spline interpolation О получении точных оценок для производной погрешности сплайн-интерполирования Korneichuk , N. P. Корнейчук , Н. П. - Using new facts on the behavior of derivatives in spline interpolation, we give a proof for exact estimates of the error in approximating the first derivative. На основе новых фактов о повелении производных при интерполировании сплайнами дается доказательство точных оценок погрешности приближения первой производной. На основі нових фактів поведінки при інтерполяції сплайнами дається доведення точних оцінок похибки наближення першої похідної. Institute of Mathematics, NAS of Ukraine 2025-06-30 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/9358 Ukrains’kyi Matematychnyi Zhurnal; Vol. 43 No. 2 (1991); 206-210 Український математичний журнал; Том 43 № 2 (1991); 206-210 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/9358/10508 Copyright (c) 1991 Н. П. Корнейчук |
| spellingShingle | Korneichuk , N. P. Корнейчук , Н. П. On obtaining exact estimates for the derivative of the error of spline interpolation |
| title | On obtaining exact estimates for the derivative of the error of spline interpolation |
| title_alt | О получении точных оценок для производной погрешности сплайн-интерполирования |
| title_full | On obtaining exact estimates for the derivative of the error of spline interpolation |
| title_fullStr | On obtaining exact estimates for the derivative of the error of spline interpolation |
| title_full_unstemmed | On obtaining exact estimates for the derivative of the error of spline interpolation |
| title_short | On obtaining exact estimates for the derivative of the error of spline interpolation |
| title_sort | on obtaining exact estimates for the derivative of the error of spline interpolation |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9358 |
| work_keys_str_mv | AT korneichuknp onobtainingexactestimatesforthederivativeoftheerrorofsplineinterpolation AT kornejčuknp onobtainingexactestimatesforthederivativeoftheerrorofsplineinterpolation AT korneichuknp opolučeniitočnyhocenokdlâproizvodnojpogrešnostisplajninterpolirovaniâ AT kornejčuknp opolučeniitočnyhocenokdlâproizvodnojpogrešnostisplajninterpolirovaniâ |