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Convex-Hull Of Polynomials And Sums Of 2m-Th Powers

Bradley Delso, Margarita (1989) Convex-Hull Of Polynomials And Sums Of 2m-Th Powers. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 309 (12). pp. 751-755. ISSN 0764-4442

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Abstract

Using some elementary theory of convex sets we prove a necessary and a sufficient condition for f ε R[x„ . . ., x„](R being the real numbers) to be a finite sum of 2m-th powers of rational functions in x1, . . ., x n over R[i.e.f ε ∑ R(x)2 m]


Item Type:Article
Uncontrolled Keywords:rench polynomial ring; function field; convex set; positive semidefinite polynomial; sum of 2m-th powers; convex hull; supporting hyperplane
Subjects:Sciences > Mathematics > Number theory
Sciences > Mathematics > Algebra
ID Code:14814
Deposited On:18 Apr 2012 09:21
Last Modified:08 May 2013 17:20

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