On a class of generalized lacunary difference sequence spaces defined by Orlicz functions

被引：3

作者：

Tripathy B.C. ^{[1
]}

Mahanta S. ^{[1
]}

机构：

[1] Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Khanapara

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2004年 / 20卷 / 2期

关键词：

Difference sequence space; Lacunary sequence; Orlicz function; Strong convergence;

D O I：

10.1007/s10255-004-0163-1

中图分类号：

学科分类号：

摘要：

In this article we introduce the generalized lacunary difference sequence spaces [Nθ,M,Δm]0, [N θ,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. © Springer-Verlag 2004.

引用

页码：231 / 238

页数：7

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