Some equivalence theorems with K-functionals

被引：23
|
作者：
Dai, F [1 ]
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
JOURNAL OF APPROXIMATION THEORY | 2003年 / 121卷 / 01期
关键词：
generalized Riesz means; Cesdro means; K-functionals; strong converse inequality;
D O I：
10.1016/S0021-9045(02)00059-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The generalized Riesz means, which were introduced by Ditzian (Acta Math. Hungar. 75 (1997) 165), are shown to be equivalent to the corresponding K-functionals in a general setting. Sir-tilar results are also obtained for the Cesaro means. (C) 2003 Elsevier Science (USA). All rights reserved.
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页码：143 / 157
页数：15
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