Christoffel functions on convex and starlike domains in Rd

被引：9
作者：
Kroo, Andras [1 ,2 ]
机构：
[1] Hungarian Acad Sci, Alfred Renyi Inst Math, Budapest, Hungary
[2] Budapest Univ Technol & Econ, Dept Anal, Budapest, Hungary
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 421卷 / 01期
关键词：
Multivariate polynomials; Starlike sets; Orthogonal polynomials; Christoffel functions; POLYNOMIALS; ASYMPTOTICS;
D O I：
10.1016/j.jmaa.2014.07.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the magnitude of the multivariate Christoffel functions on general starlike and convex domains. We will obtain sharp pointwise upper bounds which will reveal the behavior of Christoffel functions near the boundary of the domain and their dependence on the geometry of the domain. (C) 2014 Elsevier Inc. All rights reserved.
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页码：718 / 729
页数：12
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