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Recent Submissions
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On the Lucas Sequence Equations V-n = kV(m) and U-n = kU(m)
(Institute of Mathematics, Polish Academy of Sciences, 2013)Let P and Q be nonzero integers. The sequences of generalized Fibonacci and Lucas numbers are defined by U0=0, U1=1 and Un+1=PUn-QUn-1 for n≥1, and V0=2, V1=P and Vn+1=PVn-QVn-1 for n≥1, respectively. In this paper, we ... -
Some Topological and Geometrical Properties of New Banach Sequence Spaces
(Springer, 2013)In the present paper, we introduce a new band matrix (F) over cap and define the sequence space l(p)((F) over cap) = {x = (x(k)) is an element of omega : Sigma(k) vertical bar f(k)/f(k+1) x(k) - f(k+1/)f(k) x(k-1)vertical ... -
On Some Difference Sequence Spaces of Weighted Means and Compact Operators
(Springer Basel AG, 2011)In the peresent paper, by using generalized weighted mean and difference matrix of order m, we introduce the sequence spaces X(u, v, Delta((m))), where X is one of the spaces l(infinity), c or c(0). Also, we determine the ... -
On the B-difference sequence space derived by generalized weighted mean and compact operators
(Academic Press-Elsevier Science, 2012)In the present paper, by using generalized weighted mean and difference matrixB,weintroduce the paranormed sequence space (u,v,p;B)which consist of all sequenceswhose generalized weightedB-difference means are in the linear ...