Generalized C λ -Rate Sequence Spaces of Difference Sequence Defined by a Modulus Function in a Locally Convex Space

Abstract

The idea of difference sequence spaces was introduced by Kizmaz [14] and this concept was generalized by Et and Colak [6] . Recently the difference sequence spaces have been studied in (see, [3] , [7] , [17] , [18]). The purpose of this article is to introduce the sequence spaces using a modulus function f and more general C λ − method in viev of Armitage and Maddox [2]. Several properties of these spaces, and some inclusion relations have been examined.