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

25 citations · 58 across the 11 of their papers we have counts for

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11 papers

math.CA2014

Asymptotic formulas for the gamma function constructed by bivariate means

Zhen-Hang Yang

Let denote three bivariate means. In the paper, the author prove the asymptotic formulas for the gamma function have the form of% \begin{equation*} Γ\left( x+1\right) \thic…

math.CA2014

Several completely monotone functions related to DeTemple's sequence

Zhen-Hang Yang

In this paper, we present the necessary and sufficient conditions such that several functions involving with a parameter are complet…

math.CA201425 cited

A new way to prove L'Hospital Monotone Rules with applications

Zhen-Hang Yang

Let . Let and be differentiable functions on and let on . By introducing an auxiliary function $H_{f,g}:=\l…

math.CA20143 cited

Bivariate log-convexity of the more extended means and its applications

Zhen-Hang Yang

In this paper, the bivariate log-convexity of the two-parameter homogeneous function in parameter pair is vestigated. From this the bivariate log-convexity of the more extended mea…

math.CA2014

Sharp Cusa type inequalities for trigonometric functions with two parameters

Zhen-Hang Yang

Let be a function defined on . We determine the best or better such that the inequality% \begin{equation*} \le…

math.CA2014

On Lazarevic and Cusa type inequalities for hyperbolic functions with two parameters

Zhen-Hang Yang

In this paper, by investigating the monotonicity of a function composed of and with two parameters in on , we…