Inequalities between the inverse hyperbolic tangent and the inverse sine and the analogue for corresponding functions

Abstract In this paper, we obtain some new inequalities which reveal the further relationship between the inverse tangent function arctanx and the inverse hyperbolic sine function sinh−1 x. At the same time, we give the analogue for inverse hyperbolic tangent and inverse sine.

Bibliographic Details
Main Authors: Ling Zhu, Branko Malešević
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2046-2