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 |
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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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