The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

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
     

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 270

PDF Views: 1




  • On the Class of New Difference Sequence Spaces

Abstract Views: 270  |  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.