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On quasi almost lacunary strong convergence difference sequence spaces defined by a sequence of moduli. (English) Zbl 1274.46019

Summary, modified: The idea of difference sequence sets, \(X(\Delta)=\{x=(x_k):\Delta x\in X\}\), where \(X=l_\infty\), \(c\) or \(c_0\) was introduced by Kizmaz (1981), and then this subject has been studied and generalized by various mathematicians. We define quasi almost \(\Delta^m\)-lacunary strongly P-convergent sequences defined by a sequence of moduli and give inclusion relations for these sequence spaces.

MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
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