Wijsman Rough Statistical Convergence on Triple Sequences
Keywords:
Wijsman rough statistical convergence, natural density, triple sequence.Abstract
In this paper, using the concept of natural density, we introduce the notion of Wijsman rough statistical convergence of triple sequence. We define the set of Wijsman rough statistical limit points of a triple sequence spaces and obtain Wijsman statistical convergence criteria associated with this set. Later, we prove that this set is closed and convex and also examine the relations between the set of Wijsman rough statistical cluster points and the set of Wijsman rough statistical limit points of a triple sequences.
References
S. Aytar 2008. Rough statistical Convergence, Numerical Functional Analysis Optimization, 29(3), 291-303.
A. Esi , On some triple almost lacunary sequence spaces defined by Orlicz functions, Research and Reviews:Discrete Mathematical Structures, 1(2), (2014), 16-25.
A. Esi and M. Necdet Catalbas,Almost convergence of triple sequences, Global Journal of Mathematical Analysis, 2(1), (2014), 6-10.
A. Esi and E. Savas, On lacunary statistically convergent triple sequences in probabilistic normed space,Appl.Math.and Inf.Sci., 9 (5) , (2015), 2529-2534.
A. J. Datta A. Esi and B.C. Tripathy,Statistically convergent triple sequence spaces defined by Orlicz function , Journal of Mathematical Analysis, 4(2), (2013), 16-22.
S. Debnath, B. Sarma and B.C. Das ,Some generalized triple sequence spaces of real numbers , Journal of nonlinear analysis and optimization, Vol. 6, No. 1 (2015), 71-79.
S.K. Pal, D. Chandra and S. Dutta 2013. Rough ideal Convergence, Hacee. Jounral Mathematics and Statistics, 42(6), 633-640.
H.X. Phu 2001. Rough convergence in normed linear spaces, Numerical Functional Analysis Optimization, 22, 201-224.
A. Sahiner, M. Gurdal and F.K. Duden, Triple sequences and their statistical convergence, Selcuk J. Appl. Math. , 8 No. (2)(2007), 49-55.
A. Sahiner, B.C. Tripathy , Some I related properties of triple sequences, Selcuk J. Appl. Math. , 9 No. (2)(2008), 9-18.
N. Subramanian and A. Esi, The generalized tripled difference of ?^3 sequence spaces, Global Journal of Mathematical Analysis, 3 (2) (2015), 54-60.
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