Contributions to hyperbolic 1-parameter inequalities

Author(s): Abd Raouf Chouikha1, Christophe Chesneau2
1Universite Paris-Sorbonne, Paris-Nord, Institut Galilee, LAGA, 93400 Villetaneuse, France
2Department of Mathematics, LMNO, University of Caen, 14032 Caen, France
Copyright © Abd Raouf Chouikha, Christophe Chesneau. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this article we provide classes of hyperbolic chains of inequalities depending on a certain parameter \(n\). New refinements as well as new results are offered. Some graphical analyses support the theoretical results.

Keywords: hyperbolic functions; sinc function; hyperbolic inequalities; inequality chains