Best approximation and moduli of smoothness for doubling weights

被引：33

作者：

Mastroianni, G

Totik, V

机构：

[1] Univ Basilicata, Dept Math, I-85100 Potenza, Italy

[2] Univ S Florida, Dept Math, Tampa, FL 33620 USA

[3] Bolyai Inst, H-6720 Szeged, Hungary

来源：

JOURNAL OF APPROXIMATION THEORY | 2001年 / 110卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jath.2000.3546

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we relate the rate of weighted polynomial approximation to some weighted moduli of smoothness for so-called doubling weights. We shall also consider the problem in a more restrictive sense for generalized Jacobi weights with zeros in the interval of approximation. These zeros constitute a special problem that has not been resolved so far in the Literature. (C) 2001 Academic Press.

引用

页码：180 / 199

页数：20