An Optimal Double Inequality between Seiffert and Geometric Means

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

Journal of Applied Mathematics, 2011, vol. 2011, issue 1

Abstract: For α, β ∈ (0, 1/2) we prove that the double inequality G(αa + (1 − α)b, αb + (1 − α)a) 0 with a ≠ b if and only if α≤(1−14−/π2)/2 and β≥(3−3)/6. Here, G(a, b) and P(a, b) denote the geometric and Seiffert means of two positive numbers a and b, respectively.

Date: 2011
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https://doi.org/10.1155/2011/261237

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:261237

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