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
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.
引用
收藏
页码:143 / 157
页数:15
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