The Journal of the Indian Mathematical Society

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Matrix Transformation on some Generalized Difference Sequence Spaces


Affiliations
1 Department of Mathematics and Statistics, D. D. U. Gorakhpur University, Gorakhpur-273009, India
     

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In this paper we characterize some matrix classes related with the sequence spaces Δmv,r (l∞), Δmv,r (c), (m ∈ N, r ∈ R) where for Δmv,r (l∞) = {x = (xk) : (Δmv xk) ∈ l∞}. This study generalizes some results of Kizmaz [9], Colak and Et. [4] in special cases.

Keywords

Difference Sequence Space, Matrix Transformation, β-Dual.
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  • Matrix Transformation on some Generalized Difference Sequence Spaces

Abstract Views: 185  |  PDF Views: 2

Authors

V. K. Chaudhary
Department of Mathematics and Statistics, D. D. U. Gorakhpur University, Gorakhpur-273009, India

Abstract


In this paper we characterize some matrix classes related with the sequence spaces Δmv,r (l∞), Δmv,r (c), (m ∈ N, r ∈ R) where for Δmv,r (l∞) = {x = (xk) : (Δmv xk) ∈ l∞}. This study generalizes some results of Kizmaz [9], Colak and Et. [4] in special cases.

Keywords


Difference Sequence Space, Matrix Transformation, β-Dual.