%0 Journal Article
%T Constructive proofs of some positivstellens£¿tze for compact semialgebraic subsets of $\mathbb{R}^d$
%A Gennadiy Averkov
%J Mathematics
%D 2012
%I arXiv
%X In a broad sense, positivstellens\"atze are results about representations of polynomials which are strictly positive on a given set. We give constructive and, to a large extent, elementary proofs of some known positivstellens\"atze for compact semialgebraic subsets of $\mathbb{R}^d$. The presented proofs extend and simplify arguments of Berr, W\"ormann (2001) and Schweighofer (2002, 2005).
%U http://arxiv.org/abs/1201.4066v2