Open Journal of Mathematical Analysis
Vol. 8 (2024), Issue 1, pp. 57 – 75
ISSN: 2616-8111 (Online) 2616-8103 (Print)
DOI: 10.30538/psrp-oma2024.0135
Contributions to hyperbolic 1-parameter inequalities
Abd Raouf Chouikha\(^{1,*}\) and Christophe Chesneau\(^{2}\)
\(^{1}\) Universite Paris-Sorbonne, Paris-Nord, Institut Galilee, LAGA, 93400 Villetaneuse, France
\(^{2}\) Department of Mathematics, LMNO, University of Caen, 14032 Caen, France
Copyright © 2024 Abd Raouf Chouikha and 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.
Received: April 21, 2024 – Accepted: June 28, 2024 – Published: June 30, 2024
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