New inequalities involving circular, inverse circular, hyperbolic, inverse hyperbolic and exponential functions

Yogesh J. Bagul

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

Yogesh J. Bagul, New inequalities involving circular, inverse circular, hyperbolic, inverse hyperbolic and exponential functions, Adv. Inequal. Appl., 2018 (2018), Article ID 5. https://doi.org/10.28919/aia/3556

Copyright © 2018 Yogesh J. Bagul. 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.