We give a theorem of Vijayaraghavan type for summability methods for double sequences, which allows a conclusion from boundedness
in a mean and a one-sided Tauberian condition to the boundedness of the sequence itself. We apply the result to certain power
series methods for double sequences improving a recent Tauberian result by S. Baron and the author .
Types of Sequential Equivalence , Kent State University, Mathematics.
Patterson, R. F. , Some Characterization of Asymptotic Equivalent DoubleSequences, International Journal of Mathematics and Mathematical