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

Abstract

In this article, a new generalization of Jordan’s inequalityXnk=1µkθt − xtk ≤sin xx−sin θθ≤Xnk=1ωkθt − xtkfor t ≥ 2, n ∈ N and θ ∈ (0, π] is established, where the coefficients µkand ωk are defined by recursion formulas, and are the best possible. Asan application, Yang’s inequality is refine