关于一类对称函数的Schur凸性

On Schur-convexity for a Class of Symmetric Functions

利用Schur凸函数、Schur几何凸函数和Schur调和凸函数的有关性质简化证明了一类与对数凸函数有关的对称函数的Schur凸性、Schur几何凸性和Schur调和凸性.

By the properties of Schur convex function, Schur geometrically convex function and Schur harmonically convex function, Schur convexity, Schur geometric convexity and Schur harmonic convexity of a class of symmetric functions with the logarithmically convex function are simply proved.