Exact Constants for Simultaneous Approximation of Sobolev Classes by Piecewise Hermite Interpolation

被引：4

作者：

Xu, G. Q. ^{[1
]}

Liu, Y. P. ^{[2
]}

Xiong, L. Y. ^{[1
]}

机构：

[1] Tianjin Normal Univ, Dept Math, Tianjin 300387, Peoples R China

[2] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

来源：

ANALYSIS MATHEMATICA | 2019年 / 45卷 / 03期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

piecewise Hermite interpolation; L-2-norm; eigenvalue; equidistant nodes; Wirtinger-Sobolev inequality; WEAK TRACTABILITY; ERROR-BOUNDS;

D O I：

10.1007/s10476-019-0985-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the exact constants for simultaneous L-2-approximation of Sobolev classes by piecewise Hermite interpolation with equidistant nodes. The general results are applied to obtain sharp Wirtinger-Sobolev type inequalities.

引用

页码：621 / 645

页数：25

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