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  Volume 9, Issue 1, Article 23
 
Ky Fan's Inequality via Convexity
    Authors: Jamal Rooin,  
    Keywords: Convexity, Ky Fan's Inequality.  
    Date Received: 20/10/2007  
    Date Accepted: 11/12/2007  
    Subject Codes:

26D15.

  
    Editors: Peter S. Bullen,  
 
    Abstract:

In this note, using the strict convexity and concavity of the function $ f(x)=frac{1}{1+e^x}$ on $ [0,infty)$ and $ (-infty,0]$ respectively, we prove Ky Fan's inequality by separating the left and right hands of it by $ frac{1}{G_n+G^{prime }_n}$.

         
       
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