On the Statistical Convergence of Metric-Valued Sequences
We study the conditions for the density of a subsequence of a statistically convergent sequence under which this subsequence is also statistically convergent. Some sufficient conditions of this type and almost converse necessary conditions are obtained in the setting of general metric spaces.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 5, pp 796-805.
Citation Example: Değer U., Dovgoshei A. A., Küçükaslan M. On the Statistical Convergence of Metric-Valued Sequences // Ukr. Mat. Zh. - 2014. - 66, № 5. - pp. 712–720.