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When Lagrangean and Quasi-Arithmetic Means Coincide  
 
  Authors: Justyna Jarczyk,  
  Keywords: Mean, Lagrangean mean, Quasi-arithmetic mean, Jensen equation, Convexity.  
  Date Received: 16/07/07  
  Date Accepted: 06/09/07  
  Subject Codes:

Pri: 26E60, Sec: 39B22.

  
  Editors: Zsolt Pales,  
 
  Abstract:

We give a complete characterization of functions $ f$ generating the same Lagrangean mean $ L_{f}$ and quasi-arithmetic mean $ Q_{f}$. We also solve the equation $ L_{f}=Q_{g}$ imposing some additional conditions on $ f$ and $ g.$ ;


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