Sharp Geometric Mean Bounds for Neuman Means

Yan Zhang, Yu-Ming Chu and Yun-Liang Jiang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We find the best possible constants α1, α2, β1, β2 ∈ [0,1/2] and α3, α4, β3, β4 ∈ [1/2,1] such that the double inequalities G(α1a + (1 − α1)b, α1b + (1 − α1)a) 0 with a ≠ b, where G, A, and Q are, respectively, the geometric, arithmetic, and quadratic means and NAG, NGA, NQA, and NAQ are the Neuman means.

Date: 2014
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https://doi.org/10.1155/2014/949815

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:949815

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