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 $N \rightarrow \infty$.

Bibliographic Details
Main Author: D. Skorokhodov
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2018-06-01
Series:Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika
Subjects:
Online Access:https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/104/104