Small perturbations of polynomial meshes

被引：17
|
作者：
Piazzon, F. [1 ]
Vianello, M. [1 ]
机构：
[1] Univ Padua, Dept Math, Padua, Italy
来源：
APPLICABLE ANALYSIS | 2013年 / 92卷 / 05期
关键词：
multivariate polynomial inequalities; (weakly) admissible meshes; Markov compacts; multivariate polynomial interpolation; ADMISSIBLE MESHES; APPROXIMATION; POINTS; INTERPOLATION; FEKETE;
D O I：
10.1080/00036811.2011.649730
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the property of being a (weakly) admissible mesh for multivariate polynomials is preserved by small perturbations on real and complex Markov compacts. Applications are given to smooth transformations of polynomial meshes and to polynomial interpolation.
引用
收藏
页码：1063 / 1073
页数：11
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