Matrix transformations of double convergent sequences with powers

In 1967, I. J. Maddox generalized the spaces c0, c, pound by adding the powers pk (k E N) in the definitions of the spaces to the terms of elements of sequences (xk). Go<spacing diaeresis>khan and C, olak in 2004-2006 defined the corresponding double sequence spaces for the Pringsheim and the bounded Pringsheim convergence. We will additionally define the corresponding double sequence spaces for the regular convergence. In 2009, Go<spacing diaeresis>khan, C, olak and Mursaleen characterized some classes of matrix transformations involving these double sequence spaces with powers. However, many of their results appeared to be wrong. In this paper, we give corresponding counterexamples and prove the correct results. Moreover, we present the conditions for a wider class of matrices.