Publication: Convex-Hull Of Polynomials And Sums Of 2m-Th Powers
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1989
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Elsevier
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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]