Title of article :
Functional inequalities for generalized inverse trigonometric and hyperbolic functions
Author/Authors :
Baricz، نويسنده , , ءrpلd and Bhayo، نويسنده , , Barkat Ali and Pogلny، نويسنده , , Tibor K.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
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 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 F 2 3 Clausen function.
Keywords :
Generalized inverse trigonometric functions , Functional inequalities , Generalized inverse hyperbolic functions , Generalized hypergeometric F 2 3 function
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications