A one-sided Tauberian theorem for the Borel summability method |
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| Authors: | David Borwein Werner Kratz |
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| Institution: | a Department of Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B7
b Abteilung Mathematik, Universität Ulm, D-89069 Ulm, Germany |
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| Abstract: | We establish a quantitative version of Vijayaraghavan's classical result and use it to give a short proof of the known theorem that a real sequence (sn) which is summable by the Borel method, and which satisfies the one-sided Tauberian condition that  is bounded below must be convergent. |
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| Keywords: | Tauberian Borel summability |
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