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Bounds for Quotients of Inverse Trigonometric and Inverse Hyperbolic Functions

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We establish new simple bounds for the quotients of inverse trigonometric and inverse hyperbolic functions such as sin−1xsinh−1x and tanh−1xtan−1x. The main results provide polynomial bounds using even quadratic functions… Click to show full abstract

We establish new simple bounds for the quotients of inverse trigonometric and inverse hyperbolic functions such as sin−1xsinh−1x and tanh−1xtan−1x. The main results provide polynomial bounds using even quadratic functions and exponential bounds under the form eax2. Graph validation is also performed.

Keywords: trigonometric inverse; bounds quotients; inverse trigonometric; hyperbolic functions; inverse hyperbolic; quotients inverse

Journal Title: Axioms
Year Published: 2022

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