2019Journal of Inequalities and ApplicationsOpen access

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

Ling Zhu, Branko Malešević

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Abstract

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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What this paper is about

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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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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

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