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  Volume 5, Issue 4, Article 112
 
Differential Estimate for $n$-ary Forms on Closed Orthants

    Authors: Vlad Timofte,  
    Keywords: Homogeneous polynomial, Symmetric polynomial, Estimate, Positivity.  
    Date Received: 09/04/04  
    Date Accepted: 03/12/04  
    Subject Codes:

26D15, 26D05.

 
    Editors: Alexandru Lupas (1942-2007),  
 
    Abstract:

We prove a differential inequality for real forms of arbitrary degree, the problem being considered on closed orthants $ Hsubsetmathbb{R}^n$. A sufficient positivity criterion is derived. Our results allow computer implementation and contain enough information to imply the fundamental $ AM-GM $ inequality.

         
       
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