A Tauberian Theorem with a Generalized One-Sided Condition
İbrahim Çanak and Ümit Totur
Source: Abstr. Appl. Anal. Volume 2007 (2007), 12 pages.
Abstract
We prove a Tauberian theorem to recover moderate oscillation of a real sequence $u = (u_n)$ out of Abel limitability of the sequence $( V_n^{(1)} (\Delta u))$ and some additional condition on the general control modulo of oscillatory behavior of integer order of $u= (u_n)$.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aaa/1204126600
Digital Object Identifier: doi:10.1155/2007/60360
Abstract and Applied Analysis
