Inequalities for real powers of completely monotonic functions (Q1359653)
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scientific article; zbMATH DE number 1031638
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for real powers of completely monotonic functions |
scientific article; zbMATH DE number 1031638 |
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Inequalities for real powers of completely monotonic functions (English)
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23 June 1998
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Further improvements of the author's results from the previous paper [J. Math. Anal. Appl. 204, No. 2, 389-408 (1996; preceding review)] are obtained. Namely, the implication \[ f\in L\Rightarrow [\forall \alpha> 1: f^\alpha\in L^N] \] is true for \(0\leq N\leq 7\), but false for \(N\geq 13\). Some inequalities for completely monotonic functions are also obtained.
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inequalities
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completely monotonic functions
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