Characterizations of r-Convex Functions
文献类型：期刊论文
| 作者 | Zhao, Y. X.1; Wang, S. Y.1 ; Coladas Uria, L.2
|
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2010-04-01 |
| 卷号 | 145期号:1页码:186-195 |
| 关键词 | Strict r-convexity r-convexity Positive-semidefinite matrices Positive-definite matrices Convex functions Quasiconvex functions |
| ISSN号 | 0022-3239 |
| DOI | 10.1007/s10957-009-9617-1 |
| 英文摘要 | This paper discusses some properties of r-convexity and its relations with some other types of convexity. A characterization of convex functions in terms of r-convexity is given without assuming differentiability. The concept of strict r-convexity is introduced. For a twice continuously differentiable function f, it is shown that the strict r-convexity of f is equivalent to a certain condition on a double dagger (2) f. Further, it is shown that this condition is satisfied by quasiconvex functions satisfying a less stringent condition. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000275754400011 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10502]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Zhao, Y. X. |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China 2.Univ Santiago de Compostela, Fac Math, Dept Stat & Operat Res, Santiago De Compostela 15782, Spain |
| 推荐引用方式 GB/T 7714 | Zhao, Y. X.,Wang, S. Y.,Coladas Uria, L.. Characterizations of r-Convex Functions[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2010,145(1):186-195. |
| APA | Zhao, Y. X.,Wang, S. Y.,&Coladas Uria, L..(2010).Characterizations of r-Convex Functions.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,145(1),186-195. |
| MLA | Zhao, Y. X.,et al."Characterizations of r-Convex Functions".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 145.1(2010):186-195. |
入库方式： OAI收割
来源：数学与系统科学研究院
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