?m-statistical convergence
Abstract
In this paper, we define a general sequence space ?m (X) = {x = (xk) : (?m xk) ? X}, (m ? N), where X is any sequence space. We establish some inclusion relations, topological results and we characterize the continuous duals of ?m (X). Furthermore we introduce of ?m-statistical convergence and given inclusion relation between ?m (wp)-convergence and ?m-statistically convergence. The results are more general than those of Kizmaz [3], Fridy [6], Conor [7], Basarir [8], Et-Colak [9] and Salat [10].
Source
Indian Journal of Pure and Applied MathematicsVolume
32Issue
6Collections
- Makale Koleksiyonu [5745]