JIPAM

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:

;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=950