A note on Schur-concave functions
暂无分享,去创建一个
[1] D. Gilbarg,et al. Elliptic Partial Differential Equa-tions of Second Order , 1977 .
[2] Xin-Min Zhang,et al. Optimization of Schur-convex functions , 1998 .
[3] Y. Chu,et al. The Schur multiplicative and harmonic convexities of the complete symmetric function , 2011 .
[4] Kaizhong Guan,et al. Schur-convexity of the complete elementary symmetric function , 2006 .
[5] Ingram Olkin,et al. Inequalities: Theory of Majorization and Its Application , 1979 .
[6] M. Mehdi,et al. On Convex Functions , 1964 .
[7] Ionel Roventa,et al. Fan's inequality in geodesic spaces , 2009, Appl. Math. Lett..
[8] Y. Chu,et al. Schur convexity and Hadamard's inequality , 2010 .
[9] P. Bassanini,et al. Elliptic Partial Differential Equations of Second Order , 1997 .
[11] M. Merkle. Conditions for convexity of a derivative and applications to the Gamma and Digamma function , 2001 .
[12] Weifeng Xia,et al. The schur convexity of gini mean values in the sense of harmonic mean , 2011 .
[13] Schur-Convexity for a Class of Symmetric Functions , 2012 .
[14] E. Beckenbach. CONVEX FUNCTIONS , 2007 .
[15] Xin-Min Zhang,et al. Schur-convex functions and isoperimetric inequalities , 1998 .
[16] Kaizhong Guan,et al. Some properties of a class of symmetric functions , 2007 .
[17] N. Krylov. On the general notion of fully nonlinear second-order elliptic equations , 1995 .
[18] X. M. Zhang,et al. Convexity of the Integral Arithmetic Mean of a Convex Function , 2010 .
[19] D. Varberg. Convex Functions , 1973 .
[20] Christodoulos A. Floudas,et al. Convexity of Products of Univariate Functions and Convexification Transformations for Geometric Programming , 2008 .
[21] I. Olkin,et al. Inequalities: Theory of Majorization and Its Applications , 1980 .
[22] Constantin P. Niculescu,et al. Convex Functions and Their Applications: A Contemporary Approach , 2005 .
[23] Y. Chu,et al. The Schur Geometrical Convexity of the Extended Mean Values , 2008 .
[24] Chu Yu-ming,et al. The Schur harmonic convexity for a class of symmetric functions , 2010 .
[25] W. Xia,et al. Solution of an open problem for Schur convexity or concavity of the Gini mean values , 2009 .
[26] N. Trudinger,et al. On some inequalities for elementary symmetric functions , 1994, Bulletin of the Australian Mathematical Society.