The purpose of this paper is to introduce the concept $\lambda$-double almost statistical convergence weight $g$, which emerges naturally from double and $\lambda$-statistical convergence. Some interesting inclusion relations have been considered.

In this paper we introduce strongly $left[  V_{2},lambda_{2},M,pright]-$summable double vsequence spaces via Orlicz function and examine someproperties of the resulting these spaces. Also we give natural relationshipbetween these spaces and $S_{lambda_{2}}-$statistical convergence.

In this paper we extend the notion of λ-statistical convergence to the (λ, μ)statistical convergence for double sequences x = (xjk). We also determine some matrix transformations and establish some core theorems related to our new space of double sequences Sλ,μ.

Abstract A remarkable result on summability states that the statistical convergence and strong Cesàro are closely connected. Given a modulus function f , we will establish double sequence is -strong convergent always -statistically convergent. The converse, in general, false even for bounded sequences. However, characterize analytically functions which converse of this remains true. results pap...

The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces. In this paper, we define statistical analogues of convergence and Cauchy for double sequences on probabilis...

The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces. In this paper, we define statistical analogues of convergence and Cauchy for double sequences on probabilis...