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

[31] The best L p approximation of the Laplace operator by linear bounded operators in the classes of functions of two and three variables
Koshelev, A. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2012, 277 : 136 - 144
[32] The best L-p approximation of the Laplace operator by linear bounded operators in the classes of functions of two and three variables
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TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2011, 17 (03): : 217 - 224
[33] The uniform, over the whole line R estimates of spectral expansions related to the selfadjoint extensions of the hill operator and of the Schrodinger operator with a bounded and measurable potential
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[34] Robust H2/H∞ control of a class of sampled-data systems with norm-bounded uncertainty
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[35] UNIFORM ESTIMATES OF 1ST DERIVATIVES OF THE STURM-LIOUVILLE OPERATOR EIGENFUNCTIONS WITH THE POTENTIAL FROM CLASS L1
LAZHETICH, N
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[36] On an Interpolation Problem with the Smallest subscript𝐿2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_{2}$$\end{document}-Norm of the Laplace Operator
S. I. Novikov
Proceedings of the Steklov Institute of Mathematics, 2022, 319 (Suppl 1) : S193 - S203

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