Orthogonal polynomials for exponential weights x2ρe-2Q(x) on [0, d), II

被引：28

作者：

Levin, E

Lubinsky, D ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Open Univ, Dept Math, IL-43107 Raanana, Israel

来源：

JOURNAL OF APPROXIMATION THEORY | 2006年 / 139卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.jat.2005.05.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let I = [0, d), where d is finite or infinite. Let W-rho (x) = x(rho) exp (- Q (x)), where rho > - 1/2 and Q is continuous and increasing on I, with limit infinity at d. We obtain further bounds on the orthonormal polynomials associated with the weight W-rho(2), finer spacing on their zeros, and estimates of their associated fundamental polynomials of Lagrange interpolation. In addition, we obtain weighted Markov and Bernstein inequalities. (C) 2005 Elsevier Inc. All rights reserved.

引用

页码：107 / 143

页数：37

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