Inclusion theorems for absolute matrix summability methods

被引:39
作者
Rhoades, BE [1 ]
机构
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
关键词
absolute summability matrix; Cesaro matrix; weighted mean matrix;
D O I
10.1006/jmaa.1999.6507
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we establish a general inclusion theorem for a nonnegative lower triangular matrix to be absolutely stronger than a weighted mean matrix Several inclusion theorems for Cesaro and weighted mean methods are then obtained as corollaries. (C) 1999 Academic Press.
引用
收藏
页码:82 / 90
页数:9
相关论文
共 7 条
[1]   ON 2 SUMMABILITY METHODS [J].
BOR, H .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1985, 97 (JAN) :147-149
[2]   ON THE RELATIVE STRENGTH OF 2 ABSOLUTE SUMMABILITY METHODS [J].
BOR, H .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (04) :1009-1012
[3]   A NOTE ON 2 SUMMABILITY METHODS [J].
BOR, H .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 98 (01) :81-84
[4]  
Bor H., 1992, ANALYSIS, V12, P1
[5]  
Flett T. M., 1957, P LOND MATH SOC, V7, P113, DOI DOI 10.1112/PLMS/S3-7.1.113
[6]  
Sarigol M.A., 1991, COMMENT MATH PRACE M, V31, P157
[7]  
SARIGOL MA, 1993, GLAS MAT, V28, P53