Tight exponential bounds for hyperbolic tangent
Résumé
We aim to obtain very tight exponential bounds for hyperbolic tangent by first establishing simple algebraic bounds for this function. Our inequalities refine a double inequality for tanh x recently proved by Zhang and Chen. In addition, a graphical analysis is carried out, and a number of auxiliary lemmas may be of use on their own.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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