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 |
| Published: |
Oles Honchar Dnipro National University
2018-06-01
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| Series: | Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika |
| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/104/104 |
| Summary: | 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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| ISSN: | 2312-9557 2518-7996 |