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On a Class of Generalized Lacunary Difference Sequence Spaces Defined by Orlicz Functions |
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| Authors: | |
| Institution: | (1) Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Khanapara, Guwahati-781022, India |
| Abstract: | Abstract In this article we introduce the generalized lacunary difference sequence spaces N θ ,M,Δ m ]0, N θ ,M,Δ m ]1 and N θ ,M,Δ m ]∞ using m th -difference. We study their properties like completeness, solidness, symmetricity. Also we obtain some inclusion relations involving the spaces N θ ,M,Δ m ]0,N θ ,M,Δ m ]1 and N θ ,M,Δ m ]∞ and the Cesàro summable and strongly Cesàro summable sequences. |
| Keywords: | Orlicz function lacunary sequence strong convergence difference sequence space |
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