A Sharp Double Inequality between Harmonic and Identric Means

Yu-Ming Chu, Miao-Kun Wang and Zi-Kui Wang

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We find the greatest value p and the least value q in (0,1/2) such that the double inequality H(pa + (1 − p)b, pb + (1 − p)a) 0 with a ≠ b. Here, H(a, b), and I(a, b) denote the harmonic and identric means of two positive numbers a and b, respectively.

Date: 2011
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https://doi.org/10.1155/2011/657935

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:657935

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