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Pré-Publication, Document De Travail Année : 2020

Sharp inequalities on circular and hyperbolic functions using a Bernoulli inequality type

Résumé

>IJH=?J In this paper, new sharp bounds for circular and hyperbolic functions are proved. We provide some improvements of previous results by using innite products, power series expansions and a variant of the so-called Bernoulli inequality. New proofs, renements as well as new results are oered.
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Dates et versions

hal-02496097 , version 1 (02-03-2020)

Identifiants

  • HAL Id : hal-02496097 , version 1

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Abd Raouf Chouikha. Sharp inequalities on circular and hyperbolic functions using a Bernoulli inequality type. 2020. ⟨hal-02496097⟩
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