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  Volume 4, Issue 4, Article 73
 
A Variant of Jensen's Inequality

    Authors: A.McD. Mercer,  
    Keywords: Jensen's inequality, Convex functions.  
    Date Received: 14/08/03  
    Date Accepted: 27/08/03  
    Subject Codes:

26D15

  
    Editors: Peter S. Bullen,  
 
    Abstract:

If $ f$ is a convex function the following variant of the classical Jensen's
Inequality is proved


$displaystyle fleft( x_{1}+x_{n}-sum w_{k}k_{k}right) leq f(x_{1})+f(x_{n})-sum <br />w_{k}f(x_{k}). <br />$

         
       
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