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  Volume 8, Issue 3, Article 71
 
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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