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Abstract
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Abstract and Applied Analysis
Volume 2007 (2007), Article ID 60360, 12 pages
doi:10.1155/2007/60360

A Tauberian theorem with a generalized one-sided condition

İbrahim Çanak and Ümit Totur

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

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).