Abstract
The idea of rough statistical convergence for single sequences was introduced by Salih Aytar as a generalization of rough convergence. In this paper we define and study rough statistical convergence of double sequences, the set of rough statistical limits of a double sequence. We also study the relation between the set of statistical cluster points and the set of rough limit points of a double sequence.
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Acknowledgments
The authors are grateful to Dr. Pratulananda Das, Department of Mathematics, Jadavpur University for his advice during the preparation of this paper.
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Malik, P., Maity, M. On rough statistical convergence of double sequences in normed linear spaces. Afr. Mat. 27, 141–148 (2016). https://doi.org/10.1007/s13370-015-0332-9
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DOI: https://doi.org/10.1007/s13370-015-0332-9
Keywords
- Double sequence
- Dense subsequence
- Statistical cluster point
- Rough convergence
- Rough statistical convergence
- Rough statistical limit