Extension of the operator of best polynomial approximation in Lp(Ω)

被引：13

作者：

Cuenya, Hector H. ^{[1
]}

机构：

[1] Univ Nacl Rio Cuarto, Dept Matemat, RA-5800 Rio Cuarto, Argentina

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 376卷 / 02期

关键词：

Best approximation; Generalized polynomials; L-p-norm; Extension of operators; ISOTONIC APPROXIMATION;

D O I：

10.1016/j.jmaa.2010.10.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (Omega, A, mu) be a finite measure space. In this paper we extend the operator of the best generalized polynomial approximation from the space L-p(Omega) to the space Lp-1(Omega), 1 < p < infinity, as the unique operator preserving the property of continuity. The case p = 1 is also considered. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：565 / 575

页数：11

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