On a Class of Generalized Lacunary Difference Sequence Spaces Defined by Orlicz Functions

被引:0
作者
Binod Chandra Tripathy
Sabita Mahanta
机构
[1] Mathematical Sciences Division
[2] Institute of Advanced Study in Science and Technology
[3] Khanapara
[4] Guwahati-
[5] India
关键词
Orlicz function; lacunary sequence; strong convergence; difference sequence space;
D O I
暂无
中图分类号
O174 [函数论];
学科分类号
070104 ;
摘要
<正> In this article we introduce the generalized lacunary difference sequence spaces [Nθ,M,Δm]0,[Nθ,M,Δm]1 and [Nθ,M,Δm]∞using mth- difference.We study their properties like completeness,solidness,symmetricity.Also we obtain some inclusion relations involving the spaces [Nθ,M,Δm]0,[Nθ,M,Δm]1 and[Nθ,M,Δm]∞and the Cesàro summable and strongly Cesàro summable sequences.
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页码:55 / 62
页数:8
相关论文
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[1]  
On orlicz sequence spaces[J] . J. Lindenstrauss,L. Tzafriri.Israel Journal of Mathematics . 1971 (3)