Bull. Math. Soc. Sci. Math. Roumanie
Constantin P. Niculescu:Interpolating Newton's Inequalities, p.67-83
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Up: TOME 47 (95), no. 1-2
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Abstract:
We discuss the conditions under which a homogeneous symmetric polynomial
is
non-negative for all non-negative values of its variables.
Key Words: Elementary symmetric functions, Newton's
inequalities, semi-algebraic sets.
2000 Mathematics Subject Classification: Primary: 26D05,
14P10,
Secondary: 12D05, 51M16, 52A40.