Sharp Generalized Seiffert Mean Bounds for Toader Mean

Yu-Ming Chu, Miao-Kun Wang, Song-Liang Qiu and Ye-Fang Qiu

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: For p ∈ [0,1], the generalized Seiffert mean of two positive numbers a and b is defined by Sp(a, b) = p(a − b)/arctan[2p(a − b)/(a + b)], 0 0 with a ≠ b, and give new bounds for the complete elliptic integrals of the second kind. Here, T(a,b)=(2/π)∫0π/2a2cos 2θ+b2sin 2θdθ denotes the Toader mean of two positive numbers a and b.

Date: 2011
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https://doi.org/10.1155/2011/605259

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:605259

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