On Some New Paranormed Sequence Spaces and Their Topological Properties

Abstract

In this study, we define new paranormed sequence spaces c0(u, v; p, G) and c(u, v; p, G) by combining a generalized weighted mean and a generalized difference operatorB = B(r, s, t). Furthermore, we compute the α− and β− dualsand obtain bases for these sequence spaces. Finally, we characterize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µ(q) for µ ∈ {c, ,∞}