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

Abstract

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.

Keywords

• Inequalities
• Inverse tangent function
• Inverse hyperbolic sine function
• Inverse hyperbolic tangent function
• Inverse sine function