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J. Semigroup Theory Appl. 2018 (2018), Article ID 5

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 $arcsinhx/x$.

Published
5 April 2018
Volume
2018 (2018)
License
CC BY 3.0

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.

Cite this article

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

BibTeX
@article{Manavalan2018,
  author  = {Manavalan, Lejo J. and Romeo, P.G.},
  title   = {On some semigroups generated from Cayley functions},
  journal = {J. Semigroup Theory Appl.},
  volume  = {2018},
  year    = {2018},
  pages   = {5},
  doi     = {10.28919/jsta/3562}
}