A Tauberian Theorem with a Generalized One-Sided Condition

Ibrahim Çanak and Ümit Totur

Abstract and Applied Analysis, 2007, vol. 2007, 1-12

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 ) .

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:060360

DOI: 10.1155/2007/60360

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