Article contents
An O-Tauberian theorem and a high indices theorem for power series methods of summability*
Published online by Cambridge University Press: 24 October 2008
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 115 , Issue 2 , March 1994 , pp. 365 - 375
- Copyright
- Copyright © Cambridge Philosophical Society 1994
References
REFERENCES
- 4
- Cited by