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.

引用

页码：143 / 157

页数：15

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