Title of article :
On Some New Paranormed Sequence Spaces and Their Topological Properties
Author/Authors :
Duyar, Osman Anatolian High School, Turkey
Abstract :
In this study, we define new paranormed se- quence spaces c0(u, v; p, Ĝ) and c(u, v; p, Ĝ) by combining a gen- eralized 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 charac- terize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µ(q) for µ ∈ {c, .C, .C∞}.
Keywords :
Matrix domain of a sequence space , paranormed sequence spaces , weighted mean matrix , Matrix transformations , Schauder basis , α− and β− du , als.
Journal title :
Journal Of New Results In Science
Journal title :
Journal Of New Results In Science
