Cm-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane

被引：6
|
作者：
Fedorovskiy, Konstantin Yu. [1 ]
机构：
[1] Moscow State Tech Univ, Moscow, Russia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2011年 / 5卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
Polyanalytic functions and polynomials; C-m-approximation; UNIFORM APPROXIMATION; HARMONIC POLYNOMIALS; ELLIPTIC-EQUATIONS; SETS;
D O I：
10.1007/s11785-010-0099-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Several necessary and sufficient conditions on C-m-approximability of functions on compact subsets of the complex plane by polyanalytic polynomials are obtained. The resulting conditions for approximation are of the topological nature.
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页码：671 / 681
页数：11
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