Optimal Bounds for Neuman Means in Terms of Harmonic and Contraharmonic Means

Zai-Yin He, Yu-Ming Chu and Miao-Kun Wang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: For a, b > 0 with a ≠ b, the Schwab‐Borchardt mean SB(a, b) is defined as SB(a,b)={b2-a2/cos-1(a/b) if a b. In this paper, we find the greatest values of α1 and α2 and the least values of β1 and β2 in [0,1/2] such that H(α1a + (1 − α1)b, α1b + (1 − α1)a)

Date: 2013
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https://doi.org/10.1155/2013/807623

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:807623

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