MMN-2159
Sharp power mean bounds for the second Neuman mean
Xiao-Hong He; Yue-Ying Yang; Wei-Mao Qian;Abstract
In this paper, we prove that the double inequality $M_{\alpha}(a,b)0$ with $a\neq b$ if and only if $\alpha\leq 2\log2/(5\log2-2\log\pi)=1.1785\cdots$ and $\beta\geq 4/3$.
Vol. 18 (2017), No. 2, pp. 801-809