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math.CA2012★ 6 cited
The monotonicity results and sharp inequalities for some power-type means of two arguments
Zhen-Hang Yang
For with , we define M_{p}=M^{1/p}(a^{p},b^{p})\text{if}p\neq 0 \text{and} M_{0}=\sqrt{ab}, where and stand for the arithmetic mean, Heron…
math.CA2012★ 7 cited
Sharp power means bounds for Neuman-Sándor mean
Zhen-Hang Yang
For a,b>0 with a\not=b, let N(a,b) denote the Neuman-Sándor mean defined by N(a,b)=((a-b)/(2arcsinh((a-b)/(a+b)))) and A_{r}(a,b) denote the r-order power mean. We present the shar…