Schur convexity of a class of symmetric functions

摘要

In this paper we derive some general conditions in order to prove the Schur-convexity of a class of symmetric functions. This contradicts the results of K. Guan from [1]. Also, we prove that a special class of rational maps are Schur-convex functions in ? R n + . As an application, Ky-Fan's inequality is generalized.