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

Journal of inequalities and applications

article

Xiao-Diao Chen¹  Long Nie¹  Wangkang Huang¹ 

[1] Key Laboratory of Complex Systems Modeling and Simulation, Hangzhou Dianzi University

关键词: Inequalities;    Inverse tangent function;    Inverse hyperbolic sine function;    Inverse hyperbolic tangent function;    Inverse sine function;   

DOI  :  10.1186/s13660-020-02396-8

学科分类：电力

来源: SpringerOpen

【 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.

【 授权许可】

CC BY