The Journal of the Indian Mathematical Society

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On the Class of New Difference Sequence Spaces


Affiliations
1 Department of Mathematics, Trident Academy of Technology, Infocity, Bhubaneswar -751024, India
2 Department of Mathematics, Utkal University, Vanivihar, Bhubaneswar, India
     

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The main purpose of the present paper is to introduce a new class of difference sequence spaces l∞(Δ[k], ν,p),c0(Δ[k], ν,p) and c(Δ[k], ν,p), where Δ[k](xk) = kxk - (k+1)xk+1 for all k = 1,2,3.... Also, we derive some inclusion relations and other topological properties of these spaces. Finally we discuss about their α-, β-, and γ- duals.

Keywords

Difference Sequence Spaces α-, β-, and γ- Duals.
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  • On the Class of New Difference Sequence Spaces

Abstract Views: 271  |  PDF Views: 1

Authors

P. Baliarsingh
Department of Mathematics, Trident Academy of Technology, Infocity, Bhubaneswar -751024, India
S. Dutta
Department of Mathematics, Utkal University, Vanivihar, Bhubaneswar, India

Abstract


The main purpose of the present paper is to introduce a new class of difference sequence spaces l∞(Δ[k], ν,p),c0(Δ[k], ν,p) and c(Δ[k], ν,p), where Δ[k](xk) = kxk - (k+1)xk+1 for all k = 1,2,3.... Also, we derive some inclusion relations and other topological properties of these spaces. Finally we discuss about their α-, β-, and γ- duals.

Keywords


Difference Sequence Spaces α-, β-, and γ- Duals.