- Hacettepe Journal of Mathematics and Statistics
- Vol: 40 Issue: 1
- A Generalization of Jordan's Inequality and an Application ABSTRACT | FULL TEXT
A Generalization of Jordan's Inequality and an Application ABSTRACT | FULL TEXT
Authors : Zh. -h. Huo, D. -w. Niu, J. Cao , f. Qi, Feng Qi
Pages : 53-61
View : 13 | Download : 5
Publication Date : 2011-01-01
Article Type : Research
Abstract :In this article, a new generalization of Jordan’s inequality Xn k=1 µk θ t − x t k ≤ sin x x − sin θ θ ≤ Xn k=1 ωk θ t − x t k for t ≥ 2, n ∈ N and θ ∈ (0, π] is established, where the coefficients µk and ωk are defined by recursion formulas, and are the best possible. As an application, Yang’s inequality is refineKeywords : ds: Jordan’s inequali, Yang’s inequali