On the error of the interpolation by bilinear splines
We study the problem of approximation of functions from the classes Wr,s H ω and Wr,s H ω,2by bilinear splines. For some values of r ands, we obtain exact estimates of the error.
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5594 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511824651223040 |
|---|---|
| author | Shabozov, M. Sh. Шабозов, М. Ш. |
| author_facet | Shabozov, M. Sh. Шабозов, М. Ш. |
| author_sort | Shabozov, M. Sh. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:14:13Z |
| description | We study the problem of approximation of functions from the classes Wr,s H ω and Wr,s H ω,2by bilinear splines. For some values of r ands, we obtain exact estimates of the error. |
| first_indexed | 2026-03-24T03:19:02Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5594 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:19:02Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/0c/3d829aea04dbd0d16cbf285d3b94be0c.pdf |
| spelling | umjimathkievua-article-55942020-03-19T09:14:13Z On the error of the interpolation by bilinear splines О погрешности интерполяции билинейными сплайнами Shabozov, M. Sh. Шабозов, М. Ш. We study the problem of approximation of functions from the classes Wr,s H ω and Wr,s H ω,2by bilinear splines. For some values of r ands, we obtain exact estimates of the error. Розглядаються питання наближення функцій із класів $W^{r,s}H_{ω}$ і $W^{r,s}H^{ω,2}$ білінійними сплайнами. Знайдені точні оцінки похибки для деяких значень $r$ і $s$. Institute of Mathematics, NAS of Ukraine 1994-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5594 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 11 (1994); 1554–1560 Український математичний журнал; Том 46 № 11 (1994); 1554–1560 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5594/7873 https://umj.imath.kiev.ua/index.php/umj/article/view/5594/7874 Copyright (c) 1994 Shabozov M. Sh. |
| spellingShingle | Shabozov, M. Sh. Шабозов, М. Ш. On the error of the interpolation by bilinear splines |
| title | On the error of the interpolation by bilinear splines |
| title_alt | О погрешности интерполяции билинейными сплайнами |
| title_full | On the error of the interpolation by bilinear splines |
| title_fullStr | On the error of the interpolation by bilinear splines |
| title_full_unstemmed | On the error of the interpolation by bilinear splines |
| title_short | On the error of the interpolation by bilinear splines |
| title_sort | on the error of the interpolation by bilinear splines |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5594 |
| work_keys_str_mv | AT shabozovmsh ontheerroroftheinterpolationbybilinearsplines AT šabozovmš ontheerroroftheinterpolationbybilinearsplines AT shabozovmsh opogrešnostiinterpolâciibilinejnymisplajnami AT šabozovmš opogrešnostiinterpolâciibilinejnymisplajnami |