Functional inequalities for generalized inverse trigonometric and hyperbolic functions (CROSBI ID 211687)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Baricz, Arpad ; Bhayo, Barkat Ali ; Poganj, Tibor
engleski
Functional inequalities for generalized inverse trigonometric and hyperbolic functions
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 3F2 Clausen function.
Generalized inverse trigonometric functions; Generalized inverse hyperbolic functions; Functional inequalities; Generalized hypergeometric 3F2 function
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Podaci o izdanju
417 (1)
2014.
244-259
objavljeno
0022-247X
10.1016/j.jmaa.2014.03.039