Representation of nonnegative convex polynomials

Details Representation of nonnegative convex polynomials Representation of nonnegative convex polynomials

2008-01-24

arxiv.org/abs/0801.3754v2

Mathematics

Algebraic Geometry

Scientific paper

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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