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  Volume 9, Issue 1, Article 19
 
On Jensen Type Inequalities With Ordered Variables

    Authors: Vasile Cirtoaje,  
    Keywords: Convex function, $k$-arithmetic ordered variables, $k$-geometric ordered variables, Jensen's inequality, Karamata's inequality.  
    Date Received: 15/10/07  
    Date Accepted: 05/01/08  
    Subject Codes:

26D10, 26D20.

 
    Editors: Josip E. Pecaric,  
 
    Abstract:

In this paper, we present some basic results concerning an extension of Jensen type inequalities with ordered variables to functions with inflection points, and then give several relevant applications of these results.

         
       
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