| JIPAM 
         
         
          
          | Generalized Newton-Like Inequalities |  |   
          
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          |  | Authors: | Jianhong Xu, |  |   
          
          |  | Keywords: | Elementary symmetric functions, Newton's inequalities, Generalized Newton-like inequalities. |  |   
          
          |  | Date Received: | 15/02/08 |  |   
          
          |  | Date Accepted: | 29/08/08 |  |   
          
          |  | Subject Codes: | 05A20, 26D05, 30A10. |  |   
         
          |  | Editors: | Constantin P. Niculescu, |  |   
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          |  | Abstract: |  The notion of Newton--like inequalities is extended and an inductive approach is utilized to show that the generalized Newton-like inequalities hold on elementary symmetric functions with self-conjugate variables in the right half-plane.;
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