Inequalities involving inverse circular and inverse hyperbolic functions II
نویسنده
چکیده
Inequalities connecting inverse circular and inverse hyperbolic functions are obtained. Also, bounds for the inverse hyperbolic sine function are established. Some of the results presented in this paper are derived from the inequalities satisfied by particular bivariate means which belong to the family of the Schwab-Borchardt means. Mathematics subject classification (2010): Primary: 26D07; Secondary: 33B10.
منابع مشابه
Inequalities Involving Inverse Circular and Inverse Hyperbolic Functions
Inequalities connecting inverse circular and inverse hyperbolic functions are established. These results are otained with the aid of an elementary transcen-dental function which belongs to the family of R-hypergeometric functions discussed in detail in Carlson's monograph [2].
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