On the approximation properties of Cesaro means of negative order of Walsh-Fourier series

被引：39
|
作者：
Goginava, U [1 ]
机构：
[1] Tbilisi State Univ, Dept Mech & Math, GE-380028 Tbilisi, Georgia
来源：
JOURNAL OF APPROXIMATION THEORY | 2002年 / 115卷 / 01期
关键词：
Walsh functions; Cesaro means; approximation;
D O I：
10.1006/jath.2001.3632
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish approximation properties of Cesaro (C, -alpha)-means with alpha epsilon (0, 1) of Walsh-Fourier series. This result allows one to obtain the condition which is sufficient for the convergence of the means sigma(n)(-a)(f, x) to f(x) in the L-P-metric. We also show that this condition cannot be improved in the case p = 1, (C) 2002 Elsevier Science (USA).
引用
收藏
页码：9 / 20
页数：12
相关论文
共 50 条
12345