The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions
We show that the error of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions comprising $N$ elements has the order $N^{-2}$ as $N \rightarrow \infty$.
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| Format: | Article |
| Language: | English |
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Oles Honchar Dnipro National University
2018-06-01
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| Series: | Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika |
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| Online Access: | https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/104/104 |
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Article |
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doaj-85d611de555e491ab3c7a4542e70fe372020-11-25T00:16:48ZengOles Honchar Dnipro National UniversityVìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika2312-95572518-79962018-06-0126849110.15421/241811The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitionsD. Skorokhodov0Oles Honchar Dnipro National UniversityWe show that the error of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions comprising $N$ elements has the order $N^{-2}$ as $N \rightarrow \infty$.https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/104/104transfinite interpolationbest approximationharmonic spline |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
D. Skorokhodov |
| spellingShingle |
D. Skorokhodov The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika transfinite interpolation best approximation harmonic spline |
| author_facet |
D. Skorokhodov |
| author_sort |
D. Skorokhodov |
| title |
The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions |
| title_short |
The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions |
| title_full |
The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions |
| title_fullStr |
The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions |
| title_full_unstemmed |
The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions |
| title_sort |
order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions |
| publisher |
Oles Honchar Dnipro National University |
| series |
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika |
| issn |
2312-9557 2518-7996 |
| publishDate |
2018-06-01 |
| description |
We show that the error of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions comprising $N$ elements has the order $N^{-2}$ as $N \rightarrow \infty$. |
| topic |
transfinite interpolation best approximation harmonic spline |
| url |
https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/104/104 |
| work_keys_str_mv |
AT dskorokhodov theorderofthebesttransfiniteinterpolationoffunctionswithboundedlaplacianwiththehelpofharmonicsplinesonboxpartitions AT dskorokhodov orderofthebesttransfiniteinterpolationoffunctionswithboundedlaplacianwiththehelpofharmonicsplinesonboxpartitions |
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1725382618802814976 |