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 (π2−4x2) with positive coefficients for all x≠0. This enable us to obtain a much stronger Jordan's inequality than that obtained before.