POLYNOMIAL INTERPOLATION RESULTS IN SOBOLEV SPACES

被引：73

作者：

BERNARDI, C

MADAY, Y

机构：

[1] UNIV PARIS 06,ANAL NUMER LAB,F-75252 PARIS 05,FRANCE

[2] CNRS,ANAL NUMER LAB,F-75005 PARIS,FRANCE

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 43卷 / 1-2期

关键词：

POLYNOMIAL INTERPOLATION; GAUSS METHODS; APPROXIMATION RESULTS; SPECTRAL METHODS;

D O I：

10.1016/0377-0427(92)90259-Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we derive new results related to the Lagrange polynomial interpolation on the nodes of Gauss type quadrature formulas. In particular, we obtain asymptotic error estimates of the same order as the distance to the best fit in the polynomial space.

引用

页码：53 / 80

页数：28

共 22 条

[1] THE OPTIMAL CONVERGENCE RATE OF THE P-VERSION OF THE FINITE-ELEMENT METHOD [J].