关于标准单形上正多项式的最小值
On the minimum of a positive polynomial over the standard simplex
摘要：
本文给出了标准单形R^k上k元整系数多项式P的最小值的一个新的正下界，并假定P在单形R^k上为正.这个界限只依赖于变量的数量，程度和比特大小的系数P和改进的所有以前的界限为任意多项式是积极的单纯形。
英文摘要：
We present a new positive lower bound for the minimum value taken by a polynomial P with integer coefficients in k variables over the standard simplex of R^k, assuming that P is positive on the simplex. This bound depends only on the number of variables, the degree and the bitsize of the coefficients of P and improves all previous bounds for arbitrary polynomials which are positive over the simplex.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
