Tauberian theorems via generalized de la Vall\'{e}e-Poussin mean for sequences in 2-Normed spaces

In this paper, we obtain Tauberian conditions under which ordinaryconvergence of the sequence $(x_n)$ in $2-$ normed space $X$ follows from $%D_{n}^{r}-$ summability method, for every integer $r\geq 2.$ In fact we givenecessary and sufficient Tauberian condition for this method of summability.Also, we prove that Tauberian Theorems under these summability methods arevalid under oscillating slow of Schmidt-type and under Hardy-type conditions.