|
|||||
|
|
A one-sided Tauberian theorem for the Borel summability method |
|
| Authors: | David Borwein Werner Kratz |
| Affiliation: | a Department of Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B7 b Abteilung Mathematik, Universität Ulm, D-89069 Ulm, Germany |
| 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. |
| Keywords: | Tauberian Borel summability |
| 本文献已被 ScienceDirect 等数据库收录！ | |