- Hacettepe Journal of Mathematics and Statistics
- Vol: 45 Issue: 1
- On a conjecture of double inequality for the tangent function
On a conjecture of double inequality for the tangent function
Authors : Mansour Mahmoud
Pages : 43-48
View : 9 | Download : 6
Publication Date : 2016-02-01
Article Type : Research
Abstract :In this paper, we prove the conjecture posed by J.-L. Zhao, Q.-M. Luo, B.-N. Guo and F. Qi (Remarks on inequalities for the tangent function, Hacettepe J. Math. Stat., 41, no. 4, 499-506, 2012) about a sharp double inequality of the tangent function, which is a generalization of the Becker-Stark inequality. Also, the new double inequality is compared with the double inequality presented in [3]Keywords : Tangent function, L’Hôpital’s rule, inequality, best constants, Concavity