Almost convergence of triple sequences
DOI:
https://doi.org/10.14419/gjma.v2i1.1709Abstract
In this paper we introduce and study the concepts of almost convergence and almost Cauchy for triple sequences. Weshow that the set of almost convergent triple sequences of 0's and 1's is of the first category and also almost everytriple sequence of 0's and 1's is not almost convergent.
Keywords: almost convergence, P-convergent, triple sequence.
References
F. Cunjalo, "Almost convergence of double sequences-Some Analogies between measure and category", Math. Maced., 5(2007), 21-24.
G. G. Lorentz, "A contribution to the theory of divergent sequences", Acta. Math., 80(1948), 167-190.
F. Moricz and B. E. Rhoades, "Almost convergence of double sequences and strong regularity of summability matrices", Math. Proc. Camb. Phil. Soc., 104(1988), 283-293.
A. Pringsheim, "Zur Theori der zweifach unendlichen Zahlenfolgen", Math. Ann., 53(1900), 289-321.
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