English

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

Classical Analysis and ODEs 2014-08-12 v1

Abstract

In this paper, by investigating the monotonicity of a function composed of % \left( \sinh x\right) /x and coshx\cosh x with two parameters in xx 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.

Keywords

Cite

@article{arxiv.1408.2248,
  title  = {On Lazarevic and Cusa type inequalities for hyperbolic functions with two parameters},
  author = {Zhen-Hang Yang},
  journal= {arXiv preprint arXiv:1408.2248},
  year   = {2014}
}

Comments

20 pages

R2 v1 2026-06-22T05:24:28.980Z