Best Possible Bounds for Neuman‐Sándor Mean by the Identric, Quadratic and Contraharmonic Means

Tie-Hong Zhao, Yu-Ming Chu, Yun-Liang Jiang and Yong-Min Li

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We prove that the double inequalities Iα1(a,b)Q1-α1(a,b) 0 with a ≠ b if and only if α1 ≥ 1/2, β1≤log [2log (1+2)]/(1-log 2), α2 ≥ 5/7, and β2≤log [21log (+2)], where I(a, b), M(a, b), Q(a, b), and C(a, b) are the identric, Neuman‐Sándor, quadratic, and contraharmonic means of a and b, respectively.

Date: 2013
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https://doi.org/10.1155/2013/348326

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:348326

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