Abstract
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 [4].
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Stadtmüller, U. One-sided Tauberian conditions and double sequences. Periodica Mathematica Hungarica 45, 135–146 (2002). https://doi.org/10.1023/A:1022362400453
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DOI: https://doi.org/10.1023/A:1022362400453