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  • 1 Universität Ulm Abt. f. Zahlen- u. Wahrscheinlichkeitstheor e D-89069 Ulm Germany
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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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