(2017). On some λ difference sequence spaces of fractional order. test, 25(1), 37-42. doi: 10.1016/j.joems.2016.06.005
. "On some λ difference sequence spaces of fractional order". test, 25, 1, 2017, 37-42. doi: 10.1016/j.joems.2016.06.005
(2017). 'On some λ difference sequence spaces of fractional order', test, 25(1), pp. 37-42. doi: 10.1016/j.joems.2016.06.005
On some λ difference sequence spaces of fractional order. test, 2017; 25(1): 37-42. doi: 10.1016/j.joems.2016.06.005

On some λ difference sequence spaces of fractional order

Journal of the Egyptian Mathematical Society
Volume 25, Issue 1, 2017, Pages 37-42    PDF (367.49 K)
DOI: 10.1016/j.joems.2016.06.005
Abstract
In the present paper, the difference sequence spaces csλ
0 (), csλ() and bsλ() of nonabsolute type are
generalized by introducing a generalized  difference operator ((α˜)). Also, their Schauder basis are
calculated and α-, β- and γ -duals of these spaces are investigated. Finally, some matrix transformations
between these spaces and the basic sequence spaces p, c and c0 are characterized, where 1 ≤ p ≤ ∞.
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