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arXiv · 0801.3754

Representation of nonnegative convex polynomials

Jean B. Lasserre
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Abstract

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.

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Jean B. Lasserre. 2008-07-09. Representation of nonnegative convex polynomials. https://arxiv.org/abs/0801.3754

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