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2007 A Tauberian Theorem with a Generalized One-Sided Condition
İbrahim Çanak, Ümit Totur
Abstr. Appl. Anal. 2007: 1-12 (2007). DOI: 10.1155/2007/60360

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 ) ( Δ u ) ) and some additional condition on the general control modulo of oscillatory behavior of integer order of u = ( u n ) .

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İbrahim Çanak. Ümit Totur. "A Tauberian Theorem with a Generalized One-Sided Condition." Abstr. Appl. Anal. 2007 1 - 12, 2007. https://doi.org/10.1155/2007/60360

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1155.40304
MathSciNet: MR2353783
Digital Object Identifier: 10.1155/2007/60360

Rights: Copyright © 2007 Hindawi

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