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arXiv · 1408.2248

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

Zhen-Hang Yang
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Abstract

In this paper, by investigating the monotonicity of a function composed of $% \left( \sinh x\right) /x$ and $\cosh x$ with two parameters in $x$ on $% \left( 0,\infty \right) $, we prove serval theorems related to inequalities for hyperbolic functions, which generalize known results and establish some new and sharp inequalities. As applications, some new and sharp inequalities for bivariate means are presented.

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Zhen-Hang Yang. 2014-08-10. On Lazarevic and Cusa type inequalities for hyperbolic functions with two parameters. https://arxiv.org/abs/1408.2248

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