Schur convexity of a class of symmetric functions

Ionel Roventa

Abstract


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

 

Rn+. As an application, Ky-Fan's inequality is generalized.


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