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  Volume 7, Issue 2, Article 63
 
Extensions and Sharpenings of Jordan's and Kober's Inequalities

    Authors: Xiaohui Zhang, Gendi Wang, Yuming Chu,  
    Keywords: Monotonicity; Jordan's inequality; Kober's inequality; Extension and sharpening.  
    Date Received: 15/09/05  
    Date Accepted: 24/02/06  
    Subject Codes:

Primary 26D05

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

In this paper the authors discuss some monotonicity properties of functions involving sine and cosine, and obtain some sharp inequalities for them. These inequalities are extensions and sharpenings of the well-known Jordan's and Kober's inequalities.

         
       
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