The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions

D. Skorokhodov (Oles Honchar Dnipro National University),


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 $$$N \rightarrow \infty$$$.


transfinite interpolation; best approximation; harmonic spline

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