On generalized statistical convergence of double sequences via ideals

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 generalize the notions of statistical convergence, ( λ, μ )-statistical convergence, ( V , λ, μ ) summability and ( C , 1, 1) summability for a double sequence x = ( x jk ) via ideals. We also establish the relation between our new methods.