C(m)-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane

Fedorovskiy KY

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C(m)-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane

机译：复杂平面的紧子集上的多元解析多项式C（m）-逼近

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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.

机译：通过多项分析多项式，获得了复平面紧子集上函数的C（m）逼近性的几个充要条件。得到的近似条件具有拓扑性质。

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《Complex analysis and operator theory》 |2011年第3期|共11页
作者
Fedorovskiy KY;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Polyanalytic functions and polynomials; C~m-approximation;

机译：多元分析函数和多项式;C〜m逼近;

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专利

1. C(m)-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane [J] . Fedorovskiy KY Complex analysis and operator theory . 2011,第3期

机译：复杂平面的紧子集上的多元解析多项式C（m）-逼近
2. Weighted polynomial approximation of entire functions on unbounded subsets of the complex plane [J] . Canadian mathematical bulletin . 1993,第1993期

机译：复平面无界子集上整个函数的加权多项式逼近
3. Approximation by rational functions on compact nowhere dense subsets of the complex plane [J] . J. E. Brennan, C. N. Mattingly Analysis and mathematical physics . 2013,第3期

机译：通过有理函数逼近复杂平面的无位置稠密子集
4. Polynomial-Time Approximation Scheme for a Problem of Searching for the Largest Subset with the Constraint on Quadratic Variation [C] . Vladimir Khandeev International conference on mumerical computations: theory and algorithms . 2019

机译：二次变量约束最大子集搜索问题的多项式时间近似方案
5. Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane [D] . Yang, Meng. 2018

机译：关于整个复杂平面支持的措施的正交多项式
6. ON THE WEIGHTED POLYNOMIAL APPROXIMATION IN A LOCALLY COMPACT SPACE [O] . Leopoldo Nachbin 1961

机译：关于局部紧空间中的加权多项式逼近
7. Polynomial approximation with varying weights on compact sets of the complex plane [O] . Igor E. Pritsker 1998

机译：复杂平面紧凑型仪的多项式近似

C(m)-Approximation by Polyanalytic Polynomials on Compact Subsets of the Complex Plane

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