# 一个正定不等式的最佳参数A Sharp Parameter Value of a Positive Definite Inequality

Abstract: In this paper, we solved an open problem proposed in [1]. We get a sharp parameter value of a positive definite inequality by elementary method.

[1] Marshall, M. (2008) Positive Polynomials and Sums of Squares. American Mathematical Society, SURV Vol. 146.

[2] Rajwade, A.R. (1993) London Mathematical Society Lecture Note Series. Cambridge University Press, London.
http://dx.doi.org/10.1017/CBO9780511566028

[3] Scheiderer, C. (2000) Sums of Squares of Regular Functions on Real Algebraic Varieties. Transactions of the American Mathematical Society, 352, 1039-1069.
http://dx.doi.org/10.1090/S0002-9947-99-02522-2

[4] Cassels, J.W.S. (1964) On the Representation of Rational Functions as Suns of Squares. Acta Arithmetica, 9, 79-82.

[5] 冯贝叶. 四次函数实零点的完全判据和正定条件[J]. 应用数学学报, 2006, 29(3): 454-466.

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