An O-Tauberian theorem and a high indices theorem for power series methods of summability-Reference-Cited by-同舟云学术

An O-Tauberian theorem and a high indices theorem for power series methods of summability

Published:1994-03 Issue:2 Volume:115 Page:365-375
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Borwein David,Kratz Werner

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Tauber-S�tze f�r Potenzreihenverfahren

2. Tauberian theorems for general power series methods

3. On relations between weighted mean and power series methods of summability

4. O -Tauberian Theorems for J p -Methods with Rapidly Increasing Weights

5. Regularly varying functions and power series methods

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