On some semigroups generated from Cayley functions

Lejo J. Manavalan, P.G. Romeo

Abstract

In this article, inequalities involving circular, inverse circular, hyperbolic, inverse hyperbolic and exponential functions are established. Obtained results provide new lower and upper bounds for the functions $x/tanx$, $x/arcsinx$, $arctanx/x$, $tanhx/x$ and $arcsinhx/x$.

How to Cite this Article

Lejo J. Manavalan, P.G. Romeo, On some semigroups generated from Cayley functions, J. Semigroup Theory Appl., 2018 (2018), Article ID 5. https://doi.org/10.28919/jsta/3562

Copyright © 2018 Lejo J. Manavalan, P.G. Romeo. 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.