Padé approximants for inverse trigonometric functions and their applications
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DOI: 10.1186/s13660-017-1310-6
Abstract: The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions,… read more here.
Keywords: inverse trigonometric; applications pad; functions applications; trigonometric functions ... See more keywords
Bounds for Quotients of Inverse Trigonometric and Inverse Hyperbolic Functions
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DOI: 10.3390/axioms11060262
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… read more here.
Keywords: trigonometric inverse; bounds quotients; inverse trigonometric; hyperbolic functions ... See more keywords