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  Volume 9, Issue 1, Article 10
 
The Extension of a Cyclic Inequality to the Symmetric Form
    Authors: Ovidiu Bagdasar,  
    Keywords: Symmetric inequalities, Cyclic inequalities, Inequalities for sums.  
    Date Received: 16/02/2006  
    Date Accepted: 05/01/2007  
    Subject Codes:

26D15, 05A20.

  
    Editors: Josip E. Pecaric,  
 
    Abstract:

Let $ n$ be a natural number such that $ ngeq2$, and let $ a_1,dots a_n$ be positive numbers. Considering the notations

$displaystyle S_{i_1dots i_k}=a_{i_1}+dots +a_{i_k},$    

$displaystyle S=a_1+dots +a_n,$    

we prove certain inequalities connected to conjugate sums of the form:

         
       
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