Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483826 | Journal of the Egyptian Mathematical Society | 2015 | 7 Pages |
Abstract
This paper deals with new sequence spaces X(r,s,t;Δ)X(r,s,t;Δ) for X∈{l∞,c,c0}X∈{l∞,c,c0} defined by using generalized means and difference operator. It is shown that these spaces are complete normed linear spaces and the spaces X(r,s,t;Δ)X(r,s,t;Δ) for X∈{c,c0}X∈{c,c0} have Schauder basis. Furthermore, the αα-, ββ-, γγ-duals of these sequence spaces are computed and also established necessary and sufficient conditions for matrix transformations from X(r,s,t;Δ)X(r,s,t;Δ) to X.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Atanu Manna, Amit Maji, P.D. Srivastava,