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On a generalized double difference sequence spaces defined by a \(\chi\)-sequence of modulus functions. (English) Zbl 1274.46020

Summary: The idea of single difference sequence spaces was introduced by Kizmaz and this concept was generalized by various authors. In this paper, we define the sequence spaces \(\chi^2 (\Delta_u^\lambda, M_{mn},p,s)\) and \(\Lambda^2 (\Delta_u^\lambda, M_{mn},p,s)\), where \(M=(M_{mn})\) is a sequence of modulus functions, and examine some inclusion relations and properties of these spaces.

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
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