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.

引用

页码：511 / 518

页数：8

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