English

On Jordan type inequalities for hyperbolic functions

Classical Analysis and ODEs 2010-10-08 v5

Abstract

This paper deals with some inequalities for trigonometric and hyperbolic functions such as the Jordan inequality and its generalizations. In particular, lower and upper bounds for functions such as (sin x)/x and x/(sinh x) are proved.

Keywords

Cite

@article{arxiv.0808.1493,
  title  = {On Jordan type inequalities for hyperbolic functions},
  author = {R. Klen and M. Visuri and M. Vuorinen},
  journal= {arXiv preprint arXiv:0808.1493},
  year   = {2010}
}

Comments

16 pages

R2 v1 2026-06-21T11:09:20.355Z