JIPAM

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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