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

[1] On estimates for the uniform norm of the Laplace operator of the best interpolants on a class of bounded interpolation data
S. I. Novikov
Proceedings of the Steklov Institute of Mathematics, 2016, 292 : 238 - 244
[2] On Estimates for the Uniform Norm of the Laplace Operator of the Best Interpolants on a Class of Bounded Interpolation Data
Novikov, S. I.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2016, 292 : S238 - S244
[3] Interpolation on a square with a minimum value of the uniform norm of the Laplace operator
Novikov, S. I.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2012, 18 (04): : 249 - 257
[4] Double operator integrals and their estimates in the uniform norm
Farforovskaya Yu.B.
Journal of Mathematical Sciences, 1998, 92 (1) : 3640 - 3656
[5] ON THE BEST UNIFORM EPSILON-INTERPOLATION OPERATOR
MABIZELA, S
ZHONG, J
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1993, 14 (1-2) : 117 - 124
[6] Norm estimates and integral kernel estimates for a bounded operator in Sobolev spaces
Miyazaki, Yoichi
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2011, 87 (10) : 186 - 191
[7] On an interpolation problem with the smallest L2-norm of the Laplace operator
Novikov, S., I
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2022, 28 (04): : 143 - 153
[8] On an Interpolation Problem with the Smallest L2-Norm of the Laplace Operator
Novikov, S. I.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2022, 319 (SUPPL 1) : S193 - S203
[9] Interpolation in a ball with a minimum value of the L p -Norm of the Laplace operator
Novikov, S. I.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2012, 277 : 152 - 160
[10] Interpolation in a ball with a minimum value of the Lp-Norm of the Laplace operator
S. I. Novikov
Proceedings of the Steklov Institute of Mathematics, 2012, 277 : 152 - 160

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