Functional inequalities for generalized inverse trigonometric and hyperbolic functions
Classical Analysis and ODEs
2014-04-23 v1
Abstract
Various miscellaneous functional inequalities are deduced for the so-called generalized inverse trigonometric and hyperbolic functions. For instance, functional inequalities for sums, difference and quotient of generalized inverse trigonometric and hyperbolic functions are given, as well as some Gr\"unbaum inequalities with the aid of the classical Bernoulli inequality. Moreover, by means of certain already derived bounds, bilateral bounding inequalities are obtained for the generalized hypergeometric Clausen function.
Cite
@article{arxiv.1401.4863,
title = {Functional inequalities for generalized inverse trigonometric and hyperbolic functions},
author = {Árpád Baricz and Barkat Ali Bhayo and Tibor K. Pogány},
journal= {arXiv preprint arXiv:1401.4863},
year = {2014}
}
Comments
12 pages