New inequalities involving circular, inverse circular, hyperbolic, inverse hyperbolic and exponential functions
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 $.
- Published
- 12 February 2018
- Volume
- 2018 (2018)
- License
- CC BY 3.0
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.
Cite this article
Y. J. Bagul, New inequalities involving circular, inverse circular, hyperbolic, inverse hyperbolic and exponential functions, Adv. Inequal. Appl. 2018 (2018), 5. https://doi.org/10.28919/aia/3556
BibTeX
@article{Bagul2018,
author = {Bagul, Yogesh J.},
title = {New inequalities involving circular, inverse circular, hyperbolic, inverse hyperbolic and exponential functions},
journal = {Adv. Inequal. Appl.},
volume = {2018},
year = {2018},
pages = {5},
doi = {10.28919/aia/3556}
}