Constructing generalized mean functions using convex functions with regularity conditions
文献类型：期刊论文
| 作者 | Zhao, YB; Fang, SC; Li, D |
| 刊名 | SIAM JOURNAL ON OPTIMIZATION
 |
| 出版日期 | 2006 |
| 卷号 | 17期号:1页码:37-51 |
| 关键词 | convexity mathematical programming generalized mean function self-concordant functions S*-regular functions |
| ISSN号 | 1052-6234 |
| DOI | 10.1137/040603838 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000238325200002 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2414]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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