Inequalities related to certain inverse trigonometric and inverse hyperbolic functions (Q2173665)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities related to certain inverse trigonometric and inverse hyperbolic functions |
scientific article |
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Inequalities related to certain inverse trigonometric and inverse hyperbolic functions (English)
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17 April 2020
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A sharp double inequality between the inverse tangent and inverse hyperbolic sine functions is proved. A lower bound of $(\operatorname{arctanh} x)^2$ is given. The numerical values are calculated by CAS MAPLE.
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inequalities
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inverse tangent function
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inverse hyperbolic sine function
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inverse hyperbolic tangent function
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inverse sine function
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0.9560665
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0.9492394
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0.9490669
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0.94712055
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0.94546777
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0.9447929
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0.94425523
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0.9439275
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