An O-Tauberian theorem and a high indices theorem for power series methods of summability
Authors:
- 1 March 1994
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 115 (2) , 365-375
Abstract
We improve known Tauberian results concerning the power series method of summability Jp based on the sequence {pn} by removing the condition that pn be asymptotically logarithmico-exponential. We also prove an entirely new Tauberian result for rapidly decreasing pn.Keywords
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