Some Paranormed Difference Sequence Spaces Derived by Using Generalized Means

This paper presents some new paranormed sequence spaces X (r; s; t; p; Delta) where X is an element of{l(infinity)(p), c(0)(p), l(p)} defined by using generalized means and difference operator. It is shown that these are complete linear metric spaces under suitable paranorms. Furthermore, the alpha-, beta-,gamma- duals of these sequence spaces are computed and also obtained necessary and sufficient conditions for some matrix transformations from X (r; s; t; p; Delta) to X. Finally, it is proved that the sequence space l (r; s; t; p; Delta) is rotund when p(n) > 1 for all n and has the Kadec-Klee property.