A note on some sequence spaces of weighted means

被引：9
|
作者：
Malkowsky, Eberhard [1 ]
Ozger, Faruk [1 ]
机构：
[1] Fatih Univ, Fac Arts & Sci, Dept Math, TR-34500 Istanbul, Turkey
来源：
FILOMAT | 2012年 / 26卷 / 03期
关键词：
Generalised weighted means; dual spaces; matrix transformations; COMPACT-OPERATORS;
D O I：
10.2298/FIL1203511M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the sequence spaces a(0)(r), a(c)(r) and a(infinity)(r) are equal to the sets of all sequences whose Cesaro means of order 1 converge to 0, converge and are bounded. As a consequence of this, we are able to considerably simplify the known results and their proofs in [1, 2], and to add the characterisations of some more classes of matrix transformations.
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页码：511 / 518
页数：8
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