Abstract
In this chapter we study improvements of Theorem 5.2.9, which, for polynomials strictly positive on a bounded semialgebraic set of the form W ℝ(h 1 ,..., h s ), gives a canonical representation involving products of the h i ’s. It will be shown that in general, not all products are needed. In many cases the “linear” representation (0.5) of the Introduction can actually be achieved.
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© 2001 Springer-Verlag Berlin Heidelberg
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Prestel, A., Delzell, C.N. (2001). Positive Polynomials on Semialgebraic Sets. In: Positive Polynomials. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04648-7_7
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DOI: https://doi.org/10.1007/978-3-662-04648-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07445-5
Online ISBN: 978-3-662-04648-7
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