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A Tauberian Theorem with a Generalized One‐Sided Condition

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  • İbrahim Çanak
  • Ümit Totur

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).

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Handle: RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:060360
DOI: 10.1155/2007/60360
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