Constructing generalized mean functions using convex functions with regularity conditions

doi:10.1137/040603838

CSpace

	Constructing generalized mean functions using convex functions with regularity conditions
	Zhao, YB ; Fang, SC ; Li, D
	2006
发表期刊	SIAM JOURNAL ON OPTIMIZATION
ISSN	1052-6234
卷号	17 期号:1 页码:37-51
摘要	The generalized mean function has been widely used in convex analysis and mathematical programming. This paper studies a further generalization of such a function. A necessary and sufficient condition is obtained for the convexity of a generalized function. Additional sufficient conditions that can be easily checked are derived for the purpose of identifying some classes of functions which guarantee the convexity of the generalized functions. We show that some new classes of convex functions with certain regularity ( such as S*-regularity) can be used as building blocks to construct such generalized functions.
关键词	convexity mathematical programming generalized mean function self-concordant functions S*-regular functions
DOI	10.1137/040603838
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000238325200002
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2415
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, YB
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.N Carolina State Univ, Raleigh, NC USA 3.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 4.Tsing Hua Univ, Dept Ind Engn, Beijing 100084, Peoples R China 5.Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Zhao, YB,Fang, SC,Li, D. Constructing generalized mean functions using convex functions with regularity conditions[J]. SIAM JOURNAL ON OPTIMIZATION,2006,17(1):37-51.
APA	Zhao, YB,Fang, SC,&Li, D.(2006).Constructing generalized mean functions using convex functions with regularity conditions.SIAM JOURNAL ON OPTIMIZATION,17(1),37-51.
MLA	Zhao, YB,et al."Constructing generalized mean functions using convex functions with regularity conditions".SIAM JOURNAL ON OPTIMIZATION 17.1(2006):37-51.