Necessary and sufficient conditions for inclusion relations for absolute summability

被引：3

作者：

Rhoades, BE ^{[1
]}

Savas, E

机构：

[1] Yuzuncu Yil Univ, Dept Math, Van, Turkey

[2] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2003年 / 113卷 / 03期

关键词：

absolute summability; weighted mean matrix; Cesaro rnatrix;

D O I：

10.1007/BF02829605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a set of necessary and sufficient conditions for \N.p(n)\(k) to imply \(N) over bar ,q(n)\(s) for 1 < k less than or equal to s < infinity. Using this result we establish several inclusion theorems as well as conditions for the equivalence of \(N) over bar ,p(n)\(k) and \(N) over bar ,q(n)\(s).

引用

页码：243 / 250

页数：8

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