Sharp Power Mean Bounds for Sándor Mean

Yu-Ming Chu, Zhen-Hang Yang and Li-Min Wu

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

Abstract: We prove that the double inequality Mp(a, b) 0 with a ≠ b if and only if p ≤ 1/3 and q ≥ log 2/(1 + log 2) = 0.4093…, where X(a, b) and Mr(a, b) are the Sándor and rth power means of a and b, respectively.

Date: 2015
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https://doi.org/10.1155/2015/172867

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:172867

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