%0 Journal Article %T Representation of nonnegative convex polynomials %A Jean B. Lasserre %J Mathematics %D 2008 %I arXiv %X We provide a specific representation of convex polynomials nonnegative on a convex (not necessarily compact) basic closed semi-algebraic subset K of Rn. Namely, they belong to a specific subset of the quadratic module generated by the concave polynomials that define K. %U http://arxiv.org/abs/0801.3754v2