On the zeros of polynomials of best approximation

被引：0
|
作者：
Bloom, T [1 ]
Szczepanski, J
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada
[2] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland
来源：
JOURNAL OF APPROXIMATION THEORY | 1999年 / 101卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
best polynomial approximant; pluripotential theory;
D O I：
10.1006/jath.1999.3381
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a function f, uniform limit of analytic polynomials on a compact, regular set E subset of C-N, we relate analytic extension properties of f to the location of the zeros ol the best polynomial approximants to f in either the uniform norm on E or in appropriate L-q norms. These results give multivariable versions of one-variable results due to Blatt-Saff, Plesniak and Wojcik. (C) 1999 Academic Press.
引用
收藏
页码：196 / 211
页数：16
相关论文
共 50 条
12345