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doi:10.1155/2007/60360 Research Article A Tauberian Theorem with a Generalized One-Sided Condition

By Ibrahim Çanak, Ümit Totur, Recommended Stephen and L. Clark


We prove a Tauberian theorem to recover moderate oscillation of a real sequence u = (un) out of Abel limitability of the sequence (V (1) n (Δu)) and some additional condition on the general control modulo of oscillatory behavior of integer order of u = (un). Copyright © 2007 ˙I. Çanak and Ü. 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. 1

Year: 2013
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