... ApplicationsVolume 2009, Article ID 838529, 10 pagesdoi:10.1155/2009/838529 Research Article The Schur Harmonic Convexity of the HamySymmetric Function and Its ApplicationsYuming Chu and Yupei LvDepartment ... Bullen, Handbook of Means and Their Inequalities, vol. 560 of Mathematics and Its Applications,KluwerAcademic Publishers, Dordrecht, The Netherlands, 2003.Journal of Inequalities and Applications ... nnx1− x22, 3.2 and therefore, 3.1 follows from 3.2.Journal of Inequalities and Applications 7Differentiating 3.6 with respect to x1 and x2, respectively, and using Lemma 2.8,weget∂Fnx,...