Bounds for weighted Lebesgue functions for exponential weights. II

被引：2

作者：

Kubayi, DG ^{[1
]}

机构：

[1] Univ Witwatersrand, Dept Math, John Knopfmacher Ctr Applicable Anal & Number The, ZA-2050 Johannesburg, South Africa

来源：

ACTA MATHEMATICA HUNGARICA | 2002年 / 97卷 / 1-2期

关键词：

Lebesgue function; orthogonal polynomials; exponential weights;

D O I：

10.1023/A:1020854727886

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [3] we found estimates for the weighted Lebesgue functions, Lambda(n) (x), for a class of exponential weights that includes non-even weights, when the interpolation points are the zeros of orthogonal polynomials. In this paper, we use Szabados' method of adding two extra interpolation points to find better estimates for Lebesgue functions.

引用

页码：37 / 54

页数：18

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