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

查看全文 作　　者：Binod Chandra [1]Tripathy;Sabita [1]Mahanta

机构地区：[1]Mathematical Sciences Division,Institute of Advanced Study in Science and Technology,Khanapara,Guwahati-781022,India,Mathematical Sciences Division,Institute of Advanced Study in Science and Technology,Khanapara,Guwahati-781022,India

出　　处：《Acta Mathematicae Applicatae Sinica》索引2004年第20卷第2期,共8页

摘　　要：In this article we introduce the generalized lacunary difference sequence spaces [Nθ, M, Δ^m]0, [Nθ, M, Δ^m]1 and [Nθ, M, Δ^m]∞ using m^th- difference. We study their properties like completeness, solidness, symmetricity. Also we obtain some inclusion relations involving the spaces [Nθ, M, Δ^m]0,[Nθ, M, Δ^m]1 and [Nθ, M, Δ^m]∞ and the Cesàro summable and strongly Cesàro summable sequences. 关键词：差分空隙序列强收敛定理可求和性

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

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