Optimal inequalities among various means of two arguments (Q963158)
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scientific article; zbMATH DE number 5690910
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal inequalities among various means of two arguments |
scientific article; zbMATH DE number 5690910 |
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Optimal inequalities among various means of two arguments (English)
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8 April 2010
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Summary: We establish two optimal inequalities among power mean \(M_p(a,b)= (a^p/2+ b^p/2)^{1/p}\), arithmetic mean \(A(a,b)= (a+b)/2\), logarithmic mean \(L(a,b)= (a-b)/(\log a-\log b)\), and geometric mean \(G(a,b)= \sqrt{ab}\).
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0.88158894
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0.8788203
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