论文标题
关于舒尔不平等的概括
On generalizations of Schur's inequality
论文作者
论文摘要
Schur对实数差异的产品的不平等表示，对于$ x，y，z，t \ geq 0 $，$ x^t（x-y）（x-z）（x-z） + y^t（y-z）（y-x）（y-x） + z^t（z-x t（z-x）（z-x）（z-y）（z-y）（z-y）（z-y）\ geq 0 $。在本文中，我们研究了这种不平等的概括，即更多的术语，即变量和代数结构（例如向量和遗传学矩阵）的更通用功能。
Schur's inequality for the sum of products of the differences of real numbers states that for $x,y,z,t\geq 0$, $x^t(x-y)(x-z) + y^t(y-z)(y-x) + z^t(z-x)(z-y) \geq 0$. In this paper we study a generalization of this inequality to more terms, more general functions of the variables and algebraic structures such as vectors and Hermitian matrices.
