SURVEY ON THE DOMAIN OF THE MATRIX LAMBDA IN THE NORMED AND PARANORMED SEQUENCE SPACES

被引：3
作者：
Basar, Feyzi
机构：
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2013年 / 62卷 / 01期
关键词：
Normed and paranormed sequence spaces; matrix domain; triangle matrices; lambda matrix; almost convergence; alpha-; beta- and gamma-duals; matrix transformations;
D O I：
10.1501/Commua1_0000000685
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we summarize the literature on the normed and paranormed sequence spaces derived by the domain of the matrix lambda. Moreover, we establish some inclusion relations concerning with those spaces and determine their alpha-, beta- and gamma-duals. Finally, we record some open problems and further suggestions related with Lambda summability.
引用
收藏
页码：45 / 59
页数：15
相关论文
共 51 条
[1]  
Altay B., 2007, COMMUN MATH ANAL, V2, P1
[2]  
Altay B., 2006, SE ASIAN B MATH, V30, P591
[3]  
Altay B., 2002, SE ASIAN B MATH, V26, P701
[4]  
Altay B., 2005, UKRAIN MAT ZH, V57, P1
[5]   Certain topological properties and duals of the domain of a triangle matrix in a sequence space [J].
Altay, Bilal ;
Basar, Feyzi .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (01) :632-645
[6]   Generalization of the sequence space l (p) derived by weighted mean [J].
Altay, Bilal ;
Basar, Feyzi .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (01) :174-185
[7]   On the space of p-summable difference sequences of order m, (1 ≤ p < ∞) [J].
Altay, Bilal .
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2006, 43 (04) :387-402
[8]   Some paranormed sequence spaces of non-absolute type derived by weighted mean [J].
Altay, Bilal ;
Bapar, Feyzi .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (02) :494-508
[9]  
Aydin C, 2006, IRAN J SCI TECHNOL A, V30, P175
[10]   Some new difference sequence spaces [J].
Aydin, C ;
Basar, F .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (03) :677-693
123456