English

Sharp inequalities on circular and hyperbolic functions using a Bernoulli inequality type

General Mathematics 2020-02-21 v2

Abstract

In this paper, new sharp bounds for circular functions are proved. We provide some improvements of previous results by using infinite products, power series expansions and a generalisation of the so-called Bernoulli inequality. New proofs, refinements as well as new results are offered.

Keywords

Cite

@article{arxiv.2002.06147,
  title  = {Sharp inequalities on circular and hyperbolic functions using a Bernoulli inequality type},
  author = {Abd Raouf Chouikha},
  journal= {arXiv preprint arXiv:2002.06147},
  year   = {2020}
}
R2 v1 2026-06-23T13:42:12.812Z