Generalized Cesàro difference sequence spaces of non-absolute type involving lacunary sequences

In this paper we introduce and examine some properties of the sequence spaces C(@D"v^m,@q,(p)),C[@D"v^m,@q,(p)],C"~(@D"v^m,@q,(p)),C"~[@D"v^m,@q,(p)],N"@q(@D"v^m,(p)),S"@q(@D"v^m) and study various properties and inclusion relations of these spaces. We also show that the space S"@q(@D"v^m) may be represented as N"@q(@D"v^m,(p)) space.

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