UNIFORM HARMONIC APPROXIMATION ON COMPACT-SETS IN RK,K-GREATER-THAN-OR-EQUAL-TO-3

被引：5
|
作者：
ANDRIEVSKII, V
机构：
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1993年 / 24卷 / 01期
关键词：
APPROXIMATION; HARMONIC FUNCTION;
D O I：
10.1137/0524013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Estimates of the best uniform approximation of a function f given on some compact set K subset-of R(k), k greater-than-or-equal-to 3, by harmonic polynomials are obtained. The results connect approximation properties of the function f with its structural properties and the geometry of K. This corresponds to well-known results for analytic functions.
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页码：216 / 222
页数：7
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