Abstract and Applied Analysis
Volume 2007 (2007), Article ID 60360, 12 pages
Research Article

A Tauberian Theorem with a Generalized One-Sided Condition

İbrahim Çanak and Ümit Totur

Department of Mathematics, Adnan Menderes University, Aydın 09010, Turkey

Received 31 March 2007; Revised 20 June 2007; Accepted 7 August 2007

Academic Editor: Stephen L. Clark

Copyright © 2007 İbrahim Çanak and Ümit Totur. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We prove a Tauberian theorem to recover moderate oscillation of a real sequence u=(un) out of Abel limitability of the sequence (Vn(1)(Δu)) and some additional condition on the general control modulo of oscillatory behavior of integer order of u=(un).