An inequality of W.L. Wang and P.F. Wang (Q915894)
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scientific article; zbMATH DE number 4152758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inequality of W.L. Wang and P.F. Wang |
scientific article; zbMATH DE number 4152758 |
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An inequality of W.L. Wang and P.F. Wang (English)
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1990
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Summary: In this note we present a proof of the inequality \(H_ n/H_ n'\leq G_ n/G_ n'\), where \(H_ n\) and \(G_ n\) (resp. \(H_ n'\) and \(G_ n')\) denote the weighted harmonic and geometric means of \(x_ 1,...,x_ n\) (resp. \(1-x_ 1,...,1-x_ n)\) with \(x_ i\in (0,1/2],\) \(i=1,...,n\).
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weighted harmonic mean
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weighted geometric mean
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inequality
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