On estimates for the uniform norm of the Laplace operator of the best interpolants on a class of bounded interpolation data

被引：0

作者：

Novikov, S. I. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg, Russia

[2] Ural Fed Univ, Inst Math & Comp Sci, Ekaterinburg, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2015年 / 21卷 / 01期

关键词：

interpolation; Laplace operator; ZP-element;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an interpolation problem with minimum value of the uniform norm of the Laplace operator of interpolants for a class of bounded interpolated sequences. The data are interpolated at nodes of the grid formed by points from R-2 with integer coordinates. Two-sided estimates for the uniform norm of the best interpolant are found, which improve known estimates.

引用

页码：191 / 196

页数：6

共 36 条

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