Vol. 101, No. 1, 1982

Recent Issues
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Tauberian theorems between the logarithmic and Abel-type summability methods

David Borwein and Bruce Brigham Watson

Vol. 101 (1982), No. 1, 11–23
Abstract

The object of this paper is to show that if a series is summable by the logarithmic method L, then the series is also summable by the Abel method Aλ, provided a tauberian condition of the “slowly decreasing” type is satisfied.

Mathematical Subject Classification 2000
Primary: 40G10
Secondary: 40E05
Milestones
Received: 30 July 1979
Revised: 2 June 1981
Published: 1 July 1982
Authors
David Borwein
Bruce Brigham Watson