Inequalities in Lp-1 for the extended Lp best approximation operator

被引：10

作者：

Cuenya, H. ^{[2
]}

Favier, S. ^{[1
]}

Zo, F. ^{[1
]}

机构：

[1] Univ Nacl San Luis, Dept Matemat, Inst Matemat Aplicada San Luis, CONICET, RA-5700 San Luis, Argentina

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 393卷 / 01期

关键词：

Best approximation; Extension of the best approximation operator; Peano derivatives in L-p; Maximal functions associated to the best approximation operator; ISOTONIC APPROXIMATION;

D O I：

10.1016/j.jmaa.2012.02.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The best polynomial approximation operator was recently extended by one of the authors from L-p to Lp-1. In this paper, we study weak and strong inequalities for maximal operators related with the extended best polynomial approximation operator. As an application, we obtain norm convergence of the coefficients of the best polynomial approximation. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：80 / 88

页数：9

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