THE LEBESGUE CONSTANT FOR LAGRANGE INTERPOLATION ON EQUIDISTANT NODES

被引：5

作者：

MILLS, TM ^{[1
]}

SMITH, SJ ^{[1
]}

机构：

[1] LA TROBE UNIV,COLL NO VICTORIA,DEPT MATH,POB 199,BENDIGO,VIC 3550,AUSTRALIA

来源：

NUMERISCHE MATHEMATIK | 1992年 / 61卷 / 01期

关键词：

Mathematics Subject Classification (1991): 41A05; 41A10; 41A60;

D O I：

10.1007/BF01385500

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For n = 1, 2, 3, ..., let LAMBDA(n) denote the Lebesgue constant for Lagrange interpolation based on the equidistant nodes x(k,n) = k, k = 0, 1, 2, ..., n. In this paper an asymptotic expansion for log LAMBDA(n) is obtained, thereby improving a result of A. Schonhage.

引用

页码：111 / 115

页数：5