A GENERALIZATION OF TRIPLE STATISTICAL
CONVERGENCE IN TOPOLOGICAL GROUPS
Carlos Granados1, Ajoy Kanti Das2 1Estudiante de Doctorado en Matemáticas
Magister en Ciencias Matemáticas
Universidad de Antioquia
Medellín, COLOMBIA 2 Department of Mathematics
Bir Bikram Memorial College
Agartala-799004
Tripura, INDIA
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.
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References
[1] H. Cakalli, Lacunary statistical convergence in topological groups, Indian
J. Pure Appl. Math., 26, No 2 (1995), 113-119.
[2] H. Cakalli, On statistical convergence in topological groups, Pure and Appl.
Math. Sci., 43, No 1 & 2 (1996), 27-31.
[3] H. Fast, Sur la convergence statistique, Colloq. Math., 2 (1951), 241-244.
[4] C. Granados and A. Dhital, Statistical convergence of double sequences in
neutrosophic normed spaces, Neutrosophic Sets and Systems, 42 (2021),
333-344.
[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] 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] E. Kolk, The statistical convergence in Banach spaces, Tartu Ul. Toime.,
928 (1991), 41-52.
[9] A. Pringsheim, Zur Theorie der zweifach unendlichen Zahlenfolgen, Math.
Ann., 53 (1900), 289-321.
[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] 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.