JIPAM

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.;


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=467