On some new difference sequence spaces of non-absolute type

Survey on the domain of the matrix lambda in the normed and paranormed sequence spaces

“…for all k; n 2 N. Then, Mursaleen and Noman [36,37,42] de…ne the di¤erence sequence spaces c 0 ( ), c ( ) and` 1 ( ) as the matrix domain of the triangle matrix in the spaces c 0 , c and`1, respectively. They prove some estimates for the operator norms and the Hausdor¤ measure of noncompactness of certain matrix operators on the spaces c 0 ( ) and` 1 ( ).…”

On multiplicative difference sequence spaces and related dual properties

“…These are Banach spaces with the norm defined by x ∆ m = m i=1 |x i | + sup k |∆ m x k |. Also this type sequence spaces were studied by many authors the reader may refer to [3,4,5,6,7].…”

On certain Euler difference sequence spaces of fractional order and related dual properties

“…In fact, this difference matrix includes several difference matrices introduced by Ahmad and Mursaleen [1], Malkowsky et al [18] and many others (see [5,10,14,15,16,17,19,20,23]). The well known Euler mean matrix E r = (e r nk ) of order r, (0 < r < 1) is defined by the matrix…”