On the duals of some generalized sets of difference sequences

In this thesis, we first mention the definitions of some fundamental notions and write some basic theorems and inequalities. Then we give some sequence sets c₀(u,△,p), c(u,△,p) and ℓ∞(u,△,p) which are defined by Ç. Asma and R. Çolak [14], and also describe some properties of these sets. Moreover, we study on α- and β- dual spaces of these sequence spaces and give some theorems related by such dual spaces.