MMN-672
On generalized double statistical convergence in locally solid Riesz spaces
Abstract
The concept of statistical convergence is one of the most active
area of research in the field of summability. Most of the new
summability methods have relation with this popular method. In this
paper, we introduce the concept of double $\lambda$-
statistical-$\tau$- convergence which is more general idea of
convergence.
We also investigate the ideas of
double $I_{\lambda}$-statistical-$\tau$-boundedness and double
$I_{\lambda}$-statistical-$\tau$- Cauchy condition of sequences in
framework of locally solid Riesz space endowed with a topology
$\tau$ and investigate some of their consequences.
Vol. 17 (2016), No. 1, pp. 591-603
DOI: 10.18514/MMN.2016.672