On the best approximation of vector valued functions by polynomials with coefficients in vector spaces

被引：1

作者：

Anastassiou, George A. ^{[1
]}

Gal, Sorin G.

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

[2] Univ Oradea, Dept Math, Oradea 410087, Romania

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2007年 / 186卷 / 02期

关键词：

vector-valued functions; generalized polynomials; best approximation; direct and inverse theorems;

D O I：

10.1007/s10231-006-0003-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some basic results concerning the best approximation of vector-valued functions by algebraic and trigonometric polynomials with coefficients in normed spaces, called generalized polynomials. Thus we obtain direct and inverse theorems for the best approximation by generalized polynomials and results concerning the existence (and uniqueness) of best approximation generalized polynomials.

引用

页码：251 / 265

页数：15

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