Abstract
In this paper, we introduce and study the concept of \(\mathcal {I}\)-lacunary statistical convergence of weight \(g : [0, \infty ) \rightarrow [0, \infty )\) where \(g(x_n) \rightarrow \infty \) for any sequence \((x_n)\) in \([0, \infty )\) with \(x_n \rightarrow \infty \) in topological groups, and finally, we investigate some inclusion relations theorems related to \(\mathcal {I}\)-lacunary statistical convergence.
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Savas, E. (2018). \(\mathcal {I}_{\theta }\)-Statistical Convergence of Weight g in Topological Groups. In: Ghosh, D., Giri, D., Mohapatra, R., Sakurai, K., Savas, E., Som, T. (eds) Mathematics and Computing. ICMC 2018. Springer Proceedings in Mathematics & Statistics, vol 253. Springer, Singapore. https://doi.org/10.1007/978-981-13-2095-8_4
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DOI: https://doi.org/10.1007/978-981-13-2095-8_4
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