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 Grünbaum 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 F23 Clausen function.
- Functional inequalities
- Generalized hypergeometric F23 function
- Generalized inverse hyperbolic functions
- Generalized inverse trigonometric functions
ASJC Scopus subject areas
- Applied Mathematics