JIPAM

Sharpening of Jordan's Inequality and its Applications  
 
  Authors: Wei Dong Jiang, Hua Yun,  
  Keywords: Jordan inequality, Yang Le inequality, Upper-lower bound.  
  Date Received: 12/11/05  
  Date Accepted: 07/02/06  
  Subject Codes:

Pri: 26A51, 26D07, 26D15.

  
  Editors: Peter S. Bullen,  
 
  Abstract:

In this paper,the following inequality:

$displaystyle frac{2}{pi}+frac{1}{2pi^5}(pi^4-16x^4)leqfrac{sin x}{x}leqfrac{2}{pi}+frac{pi-2}{pi^5}(pi^4-16x^4)$
is established. An application of this inequality gives an improvement of Yang Le's inequality. ;


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