一类对称函数的Schur-凹性

Schur-Concauity of A Class of Symmetric Functions

本文证明了由初等对称函数组成的对称函数E（S-x）＋E（x）在单形C1的Schur-凹性.并建立了有关的不等式。

The Schur-Concauity for ER (s-x) +ER (x) on C1 was proned, and the related inequality was also established. Penote by ER ( … ) the kth elementary functions, 0≤k≤n,and x=(x1,…,Xn),s-x=(s-x1,…s-Xn),C1={x|0≤xi≤s，x1+…+Xn=S}.