Some Properties of Majorization Inequalities and Its Applications

摘要：

It is well known that inequalities of majorization have to play an important role in nearly all branches of mathematics. Firstly we state its some properties. Secondly we take use of these results in elementary mathematics to prove a large number of known inequlities easily, but also to derive or discover new inequalities, which embodies the characteristics of majorization. Lastly we resolve some problem in mathematics league competition or International Olympic Math Competition by inequalities of majorization.

关键词： Majorization inequalities convex function

作者: Xiu-Hong Feng

作者单位: College of Mathematics & Physics, Nanjing University of Information Science & Technology, Nanjing 210044, China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 465-469

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）