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A Tauberian theorem with a generalized one-sided condition - MaRDI portal

A Tauberian theorem with a generalized one-sided condition (Q2472097)

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A Tauberian theorem with a generalized one-sided condition
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    A Tauberian theorem with a generalized one-sided condition (English)
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    20 February 2008
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    Summary: 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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