Almost convergence of triple sequences

  • Authors

    • Ayhan Esi Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey
    • M.Necdet Catalbas Firat University
    2014-01-03
    https://doi.org/10.14419/gjma.v2i1.1709

  • 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

    1. F. Cunjalo, "Almost convergence of double sequences-Some Analogies between measure and category", Math. Maced., 5(2007), 21-24.
    2. G. G. Lorentz, "A contribution to the theory of divergent sequences", Acta. Math., 80(1948), 167-190.
    3. 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.
    4. A. Pringsheim, "Zur Theori der zweifach unendlichen Zahlenfolgen", Math. Ann., 53(1900), 289-321.

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  • How to Cite

    Esi, A., & Catalbas, M. (2014). Almost convergence of triple sequences. Global Journal of Mathematical Analysis, 2(1), 6-10. https://doi.org/10.14419/gjma.v2i1.1709