SCHUR CONVEXITY OF MIXED MEAN OF n VARIABLES INVOLVING THREE PARAMETERS

wang dongsheng

Abstract


In this paper, we discuss the Schur convexity,the Schur geomet-
ric convexity and Schur harmonic convexity of the mixed mean of n variables involving three parameters.As an application, We have established some inequalities of the Ky Fan type related to the mixed mean of n variables,and the lower bound inequality of Gini mean for n variables is given.


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