On the Class of New Difference Sequence Spaces

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Authors

  • Department of Mathematics, Trident Academy of Technology, Infocity, Bhubaneswar -751024 ,IN
  • Department of Mathematics, Utkal University, Vanivihar, Bhubaneswar ,IN

Keywords:

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

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.