New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions

[摘要] In this paper, we present new inequalities which reveal further relationship for both the inverse tangent function $\arctan (x)$ and the inverse hyperbolic function $\operatorname{arctanh}(x)$. At the same time, we give the analogue for inverse hyperbolic tangent and other corresponding functions.

[学科分类] 电力

[关键词] Inequalities;Inverse tangent function;Inverse hyperbolic sine function;Inverse hyperbolic tangent function;Inverse sine function