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Zbl 1204.26053
Wang, Miao-Kun; Qiu, Ye-Fang; Chu, Yu-Ming
Sharp bounds for Seiffert means in terms of Lehmer means.
(English)
[J] J. Math. Inequal. 4, No. 4, 581-586 (2010). ISSN 1846-579X

Summary: We establish two sharp inequalities as follows: $P(a,b) > L_{-\frac 16} (a,b)$ and $T (a,b) < L_{\frac 13} (a,b)$ for all $a,b > 0$ with $a = b$. Here, $L_r(a,b), P(a,b)$ and $T (a,b)$ are the 3 Lehmer, first and second Seiffert means of $a$ and $b$, respectively.
MSC 2000:
*26E60 Means

Keywords: Lehmer mean; first Seiffert mean; second Seiffert mean

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