Optimal Inequalities among Various Means of Two Arguments

Ming-yu Shi, Yu-ming Chu and Yue-ping Jiang

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

Abstract: We establish two optimal inequalities among power mean Mp(a,b)=(ap/22+bp/)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)=ab.

Date: 2009
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https://doi.org/10.1155/2009/694394

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:694394

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