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Zbl 1152.40303
Savaş, Ekrem; Patterson, Richard F.
Double sequence spaces characterized by lacunary sequences. (English)
[J] Appl. Math. Lett. 20, No. 9, 964-970 (2007). ISSN 0893-9659

Summary: {\it G. Das} and {\it B. K. Patel} [Indian J. Pure Appl. Math. 20, 64--74 (1989; Zbl 0726.40002)] considered known sequence spaces to define two new sequence spaces called lacunary almost convergent and lacunary strongly almost convergent sequence spaces, and proved two inclusion theorems with respect to those spaces. In this paper, we shall extend those spaces to two new double sequence spaces and prove multidimensional analogues of Das and Patel's results.

MSC 2000:: *40A05 Convergence of series and sequences

Keywords: lacunary double sequences; almost lacunary sequences; P-convergent

Citations: Zbl 0726.40002

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