Zhen-Hang Yang

activity

20122022

most citedA new way to prove L'Hospital Monotone Rules with applications

25 citations · 90 across the 23 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CA2015★ 2 cited

Very accurate approximations for the elliptic integrals of the second kind in terms of Stolarsky means

Zhen-Hang Yang

For $a, b > 0$ with $a \neq = b$ , the Stolarsky means are defined by% \begin{equation*} S_{p,q}\left(a,b\right) =\left({\dfrac{q(a^{p}-b^{p})}{p(a^{q}-b^{q})}}% \right) ^{1/(p-q)}\text{i…

math.CA2015★ 2 cited

Some sharp inequalities for the Toader-Qi mean

Zhen-Hang Yang

The Toader-Qi mean of positive numbers $a$ and $b$ defined by \begin{equation*} TQ\left( a,b\right) =\frac{2}{π}\int_{0}^{π/2}a^{\cos ^{2}θ}b^{\sin ^{2}θ}dθ\end{equation*} is relat…

math.CA2015

Optimal evaluations for the Sándor-Yang mean by power mean

Zhen-Hang Yang, Yu-Ming Chu

In this paper, we prove that the double inequality $M_{p} (a, b) < B (a, b) < M_{q} (a, b)$ a, b>0 $w i t h$ a\neq b $i f an d o n l y i f$ p\leq 4\log 2/(4+2\log 2-π)=1.2351\cdots$ an…