Tauberian conditions with controlled oscillatory behavior (Q427576)
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scientific article; zbMATH DE number 6046281
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tauberian conditions with controlled oscillatory behavior |
scientific article; zbMATH DE number 6046281 |
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Tauberian conditions with controlled oscillatory behavior (English)
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14 June 2012
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The authors generalize the Tauberian theorems of Tauber and of Hardy and Littlewood of the Abel summability method. The conditions of the main theorem are stated in terms of the control modulo of the oscillatory behaviour of the sequence involved.
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Tauberian theorem
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slow oscillation
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slow decrease
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Abel summability
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