On Certain Generalized Weighted Mean Fractional Difference Sequence Spaces

摘要

abstract_textpThe notion of the generalized difference operator () of order and the weighted mean operator G(u,v) are combined in the present article. Some related paranormed sequence spaces (u,v;(),p),c0(u,v;(),p),c(u,v;(),p) and (u,v;(),p), where is a positive real number, are also introduced. Certain topological properties are studied and Schauder bases of these classes are determined. Also, the -,- and -duals of these spaces via matrix transformations are computed./p/abstract_text