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.
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页码：1601 / 1606
页数：6
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