封闭盒上的正多项式
Positive Polynomials on closed boxes
摘要：
给出了$\mathbb{R}^2$闭盒上的正多项式可以写成系数严格为正的二元伯恩斯坦多项式的两种不同证明.这两种策略都可以推广到证明多项式在$\mathbb{R}^n$，$n>2$的闭盒上为正的类似结果。
英文摘要：
We present two different proofs that positive polynomials on closed boxes of $\mathbb{R}^2$ can be written as bivariate Bernstein polynomials with strictly positive coefficients. Both strategies can be extended to prove the analogous result for polynomials that are positive on closed boxes of $\mathbb{R}^n$, $n>2$.
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