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On rough statistical convergence of double sequences in normed linear spaces

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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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Correspondence to Prasanta Malik.

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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

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