JIPAM

Some Considerations on the Monotonicity Property of Power Means  
 
  Authors: Ioan Gavrea,  
  Keywords: Jensen's inequality, Monotonicity, Power means  
  Date Received: 15/09/04  
  Date Accepted: 13/10/04  
  Subject Codes:

26D15

  
  Editors: Alexandru Lupas (1942-2007),  
 
  Abstract:

If $ A$ is an isotonic linear functional and $ f:[a,b]to (0,infty) $ is a monotone function then $ Q(r,f)=(f^r(a)+f^r(b)-A(f^r))^{1/r}$ is increasing in $ r$.;


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