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Presents new inequalities for inverse trigonometric and hyperbolic functions, indicating enhanced mathematical understanding.
In this paper, we present new Shafer-Fink type inequalities for the arc sine and arc tangent functions. We develop Shafer?s inequality for the arc hyperbolic tangent function to produce sharp two-sided inequalities, and present a new lower bound for the arc hyperbolic tangent function. Also, we present new sharp inequalities for the arc lemniscate functions.
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Xu et al. (2026) studied this question.
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