Statistical convergence has attracted the attention of researchers due to the fact that it is more general than classical convergence. Recently Moricz [Analysis Mathematica, 40(3) (2014), 231-242] has established a result on statistical extension of classical Tauberian theorem by (L; 1) - summability for a function of a single variable. In this paper some new inclusion theorems are established under Tauberian conditions by (L; 1; 1) - summability of double integrable functions of two variables using oscillating behavior and De la vallee Poussin mean.