Some new paranormed difference sequence spaces and weighted core
In this study, we define new paranormed sequence spaces by combining a generalized weighted mean and a difference operator. Furthermore, we compute the ? ? -,? ? - and? ? - duals and obtain bases for these sequence spaces. Besides this, we characterize the matrix transformations from the new paranormed sequence spaces to the spaces c0(q),c(q),?(q) c 0 ( q ) , c ( q ) , ? ( q ) and ??(q) ? ? ( q ) . Finally, weighted core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.
paranormed sequence spaces matrix transformations generalized weighted mean matrix core of a sequence