Geodesic
Wilker and Huygens-type inequalities involving Gudermannian and the inverse Gudermannian functions
Problemy analiza, Tome 6 (2017) no. 1, pp. 46-57

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Five Wilker Huygens-type inequalities involving Gudermannian and the inverse Gudermannian functions are obtained. The Schwab–Borchardt mean plays a crucial role in the proofs. Also, an analytical inequality for the sums of powers, established earlier by this author, is an indispensable tool in the the proofs of the main results of this paper.
Keywords: Gudermannian function, inverse Gudermannian function, Wilker inequality, Schwab–Borchardt mean, Huygens inequality, inequalities. 
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     author = {E. Neuman},
     title = {Wilker and {Huygens-type} inequalities involving {Gudermannian} and the inverse {Gudermannian} functions},
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     url = {http://geodesic.mathdoc.fr/item/PA_2017_6_1_a4/}
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E. Neuman. Wilker and Huygens-type inequalities involving Gudermannian and the inverse Gudermannian functions. Problemy analiza, Tome 6 (2017) no. 1, pp. 46-57. http://geodesic.mathdoc.fr/item/PA_2017_6_1_a4/