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.
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页码：1063 / 1073
页数：11
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