Asymptotic behavior of Muntz-Christoffel functions at the endpoints

被引：1

作者：

Stefansson, Ulfar F. ^{[1
]}

机构：

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 06期

关键词：

Christoffel functions; Muntz polynomials; ORTHOGONAL POLYNOMIALS; SYSTEMS;

D O I：

10.1016/j.cam.2009.02.074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish asymptotics for Christofrel functions of Muntz systems at the endpoints x = 0 and x = 1 of [0, 1], assuming that there exists a rho > 0, such that the Muntz exponents {lambda(k)} satisfy lim(k ->infinity)lambda(k)/k = rho. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1601 / 1606

页数：6

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