Schur convexity for a class of symmetric functions  

作　　者：CHU YuMing 1, XIA WeiFeng 1 & ZHAO TieHong 2 1 Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China 2 Institut de Mathmatiques, Universit Pierre et Marie Curie, Paris F-75252, France 

出　　处：《Science China Mathematics》2010年第2期465-474,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.60850005, 10771195);the Natural Science Foundation of Zhejiang Province (Grant Nos. D7080080, Y7080185,Y607128)

摘　　要：The Schur convexity and concavity of a class of symmetric functions are discussed, and an open problem proposed by Guan in "Some properties of a class of symmetric functions" is answered. As consequences, some inequalities are established by use of the theory of majorization.The Schur convexity and concavity of a class of symmetric functions are discussed, and an open problem proposed by Guan in "Some properties of a class of symmetric functions" is answered. As consequences, some inequalities are established by use of the theory of majorization.

关 键 词：SCHUR CONVEX SCHUR CONCAVE SYMMETRIC FUNCTION 

分 类 号：O174.13[理学—数学]