A general refinement of Jordan-type inequality

✍ Scribed by Ling Zhu

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 227 KB
• Volume: 55
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2007.10.004

✦ Synopsis

In this work, a general form of Jordan's inequality:

, and N ≥ 0 is a natural number. The applications of the above result give the general improvement of the Yang Le inequality and a new infinite series (sin x)/x = ∞ n=0 a n (π 2 -4x 2 ) n for 0 < |x| ≤ π/2.