利用盒形分区上的调和样条,研究了有界拉普拉斯函数的最佳超限插值的阶数

D. Skorokhodov
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引用次数: 1

摘要

我们证明了在包含$$$N$$$元素的盒子分区上,调和样条对有界拉普拉斯函数的最佳超限插值的误差为$$$N^{-2}$$$ $的阶为$$$N \右列\内列$$$ $$。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions
We show that the error of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions comprising $$$N$$$ elements has the order $$$N^{-2}$$$ as $$$N \rightarrow \infty$$$.
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