Optimal inequalities for power means (Q442812)
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scientific article; zbMATH DE number 6063323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal inequalities for power means |
scientific article; zbMATH DE number 6063323 |
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Optimal inequalities for power means (English)
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6 August 2012
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Summary: We present the best possible power mean bounds for the product \(M^\alpha_p(a, b) M^{1-\alpha}_{-p}(a, b)\) for any \(p > 0, \alpha \in (0, 1)\), and all \(a, b > 0\) with \(a \neq b\). Here, \(M_p(a, b)\) is the \(p\)th power mean of two positive numbers \(a\) and \(b\).
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