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Representation of nonnegative convex polynomials |
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| Authors: | Jean B. Lasserre |
| Affiliation: | (1) LAAS-CNRS and Institute of Mathematics, University of Toulouse, LAAS, 7 avenue du Colonel Roche, 31077 Toulouse Cédex 4, France |
| Abstract: | We provide a specific representation of convex polynomials nonnegative on a convex (not necessarily compact) basic closed semi-algebraic set  . Namely, they belong to a specific subset of the quadratic module generated by the concave polynomials that define  . Received: 15 December 2007 |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). Primary 14P10 Secondary 11E25, 12D15, 90C25 |
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