Two valued measure and summability of double sequences
In this paper, following the methods of Connor [connor], we extend the idea of statistical convergence of a double sequence (studied by Muresaleen and Edely [moe]) to -statistical convergence and convergence in -density using a two valued measure . We also apply the same methods to extend the ideas of divergence and Cauchy criteria for double sequences. We then introduce a property of the measure called the (APO) condition, inspired by the (APO) condition of Connor [jc]. We mainly investigate...