In earlier works, F. León and coworkers discovered a remarkable structure between statistical convergence strong Cesàro convergence, modulated by function f (called modulus function). Such nice pivots around the notion of compatible function. this paper, we will explore such in framework lacunary for double sequences discover that remains true functions. Thus, continue work Hacer Şenül, Mikail ...

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.

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...

The purpose of this paper is to introduce and study a new concept of strong fuzzy real-valued double Aconvergence sequences with respect to an Orlicz function. Also, some properties of the resulting fuzzy real-valued sequence spaces are examined. In addition, we define the double A-statistical convergence and establish some connections between the spaces of strong double A-convergence sequence ...