On the integral of the Lebesgue function induced by interpolation at the Chebyshev nodes

被引：0

作者：

Brutman, L ^{[1
]}

Gopengauz, I

Toledano, D

机构：

[1] Univ Haifa, Dept Comp Sci, IL-31905 Haifa, Israel

[2] Univ Haifa, Dept Math, IL-31905 Haifa, Israel

[3] Moscow Steel & Alloys Inst, Dept Math, Moscow 117936, Russia

来源：

ACTA MATHEMATICA HUNGARICA | 2001年 / 90卷 / 1-2期

关键词：

Asymptotic Behavior; Asymptotic Expansion; Acta Math; Chebyshev Polynomial; Lagrange Interpolation;

D O I：

10.1023/A:1006723422386

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The asymptotic behavior of the values of the integral of the Lebesgue function induced by interpolation at the Chebyshev roots is studied. Two leading terms in the corresponding asymptotic expansion are found explicitly.

引用

页码：11 / 28

页数：18

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