A Generalization of Jordan`s Inequality and an Application  ABSTRACT  |  FULL TEXT

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 ∈ insert ignore into journalissuearticles values(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 refine