International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 18, Pages 76782, 6 p.
doi:10.1155/IJMMS/2006/76782

An identity related to Jordan's inequality

Jian-Lin Li

College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China

Abstract

The main purpose of this note is to establish an identity which states that the function sinx/x is a power series of (π24x2) with positive coefficients for all x0. This enable us to obtain a much stronger Jordan's inequality than that obtained before.