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

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

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Bibliographic Details
Main Authors: Xiao-Diao Chen, Long Nie, Wangkang Huang
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02396-8