Logarithmic mean and weighted sum of geometric and anti-harmonic means
We consider the problem of finding the optimal values \(\alpha,\ \beta\in\mathbb{R}\) for which the inequality\[\alpha G(a,b)+(1-\alpha)C(a,b)<L(a,b)<\beta G(a,b)+(1-\beta)C(a,b)\]holds for all \(a,b>0\), \(a\neq b\), where \(G(a,b),L(a,b)\) and \(C(a,b)\) are respectively the geometric, lo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2012-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/971 |