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  Volume 6, Issue 2, Article 30
 
Stolarsky Means of Several Variables

    Authors: Edward Neuman,  
    Keywords: Stolarsky means, Dresher means, Dirichlet averages, Totally positive functions, Inequalities  
    Date Received: 19/10/04  
    Date Accepted: 24/02/05  
    Subject Codes:

33C70, 26D20

 
    Editors: Zsolt Pales,  
 
    Abstract:

A generalization of the Stolarsky means to the case of several variables is presented. The new means are derived from the logarithmic mean of several variables studied in [9]. Basic properties and inequalities involving means under discussion are included. Limit theorems for these means with the underlying measure being the Dirichlet measure are established.

         
       
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