n元多项式函数极值存在充分条件的一种简易证明

Sufficient Demonstration about Extremum of n－ variate multinomial Function

讨论了 n元多项式函数在欧几里德空间单位球面上最大值和最小值的问题，进而为多元函数极值的充分条件提供了一种简易的证明方法 .

In this paper,we discussed the absolute maximum and minimum of the n－ variate multinomial function on the unit spherical surface in Euclidean space. Further,a brief way was given to prove the sufficient condition of multivariate function.