Some Paranormed Sequence Spaces and Matrix Transformations

Let w, γ, γo, c, co and l∞ be the spaces of all, summable, summable to zero, convergent, null and bounded sequences respectively. The notion of statistical convergence of sequences was introduced by Fast [3], Schoenberg [12] and Buck [1] independently. Later on the idea was exploited from sequence space point of view and linked with summability by Fridy [4], S̆alát [11], Kolk [5], Rath and Tripathy [10], Connor [2], Tripathy ([14], [15]) and many others. The basic idea depends on the density of the subsets of I N , the set of natural numbers. A subset of E of I N is said to have density δ(E) if δ(E) = lim n→∞ 1 n n ∑