Inequalities between the inverse hyperbolic tangent and the inverse sine and the analogue for corresponding functions
Ling Zhu, Branko Malešević
Abstract
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Ling Zhu, Branko Malešević
Abstract
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In this paper, we obtain some new inequalities which reveal the further relationship between the inverse tangent function arctan x and the inverse hyperbolic sine function sinh −1 x . At the same time, we give the analogue for inverse hyperbolic tangent and inverse sine.
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In this paper, we obtain some new inequalities which reveal the further relationship between the inverse tangent function arctan x and the inverse hyperbolic sine function sinh −1 x . At the same time, we give the analogue for inverse hyperbolic tangent and inverse sine.
Key concepts: Inverse trigonometric functions, Hyperbolic function, Mathematics, Inverse hyperbolic function, Inverse, Sine, Inverse function, Tangent