A GENERALIZATION OF TRIPLE STATISTICAL
CONVERGENCE IN TOPOLOGICAL GROUPS

Abstract

In this paper, we introduce a class of summability methods that can be applied to \lambda &lambda&-triple statistical convergence in topological groups and we show some interesting results.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 1
Year: 2022

DOI: 10.12732/ijam.v35i1.5

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References

  1. [1] H. Cakalli, Lacunary statistical convergence in topological groups, Indian J. Pure Appl. Math., 26, No 2 (1995), 113-119.
  2. [2] H. Cakalli, On statistical convergence in topological groups, Pure and Appl. Math. Sci., 43, No 1 & 2 (1996), 27-31.
  3. [3] H. Fast, Sur la convergence statistique, Colloq. Math., 2 (1951), 241-244.
  4. [4] C. Granados and A. Dhital, Statistical convergence of double sequences in neutrosophic normed spaces, Neutrosophic Sets and Systems, 42 (2021), 333-344.
  5. [5] C. Granados, New notions of triple sequences on ideal spaces in metric spaces, Advances in the Theory on Nonlinear Analysis and its Applications, 5, No 3 (2021), 363-368.
  6. [6] C. Granados, A generalization of the strongly Ces´aro ideal convergence through double sequence spaces, International Journal of Applied Mathematics, 34, No 3 (2021), 525-533; DOI: 10.12732/ijam.v34i3.8.
  7. [7] E. Kolk, The statistical convergence in Banach spaces, Tartu Ul. Toime., 928 (1991), 41-52.
  8. [8] I.J. Maddox, Statistical convergence in locally convex spaces, Math. Cambr. Phil. Soc., 104 (1988), 141-145.
  9. [9] A. Pringsheim, Zur Theorie der zweifach unendlichen Zahlenfolgen, Math. Ann., 53 (1900), 289-321.
  10. [10] A. Sahiner and B.C. Tripathy, Some I-related properties of triple sequences, Selcuk J. Appl. Math., 9, No 2 (2008), 9-18.
  11. [11] E. Savas, Generalized double statistical convergence in topological group, Advances in Intelligent Systems and Computing, Proc. of the Sixth Intern. Conf. on Mathematics and Computing, 2020 (2020), 461-468.