Abstract and Applied Analysis
Volume 2007 (2007), Article ID 60360, 12 pages
doi:10.1155/2007/60360
Research Article
A Tauberian Theorem with a Generalized One-Sided Condition
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.
Abstract
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).