| r-凸函数与凸函数的关系 |
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| 引用本文： | 肖洪伟 于宪伟 包福利. r-凸函数与凸函数的关系[J]. 辽宁工学院学报, 2006, 26(6): 418-420 |
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| 作者姓名： | 肖洪伟 于宪伟 包福利 |
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| 作者单位： | 渤海大学数学系 辽宁锦州121013 |
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| 摘 要： | r-凸函数是凸函数的一种推广形式,它完全包含了凸函数族。通过引进r-凸函数的概念,得到了在适当的限制条件下凸函数是r–凸函数的结论。
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| 关 键 词： | 凸函数 G-凸函数 r-凸函数 拟凸函数 |
| 文章编号： | 1005-1090(2006)06-0418-03 |
| 收稿时间： | 2006-06-09 |
| 修稿时间： | 2006-06-09 |
Relationship Between r-Convex Functions and Convex Functions |
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| XIAO Hong-wei, YU Xian-wei, BAO Fu-li. Relationship Between r-Convex Functions and Convex Functions[J]. Journal of Liaoning Institute of Technology(Natural Science Edition), 2006, 26(6): 418-420 |
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| Authors: | XIAO Hong-wei YU Xian-wei BAO Fu-li |
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| Affiliation: | Dept. of Mathematics, Bohai University, Jinzhou 121013 ,China |
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| Abstract: | R-convex functions are the generalizations of convex functions,which includes the family of convex.The conclusions that in proper restricted conditions,convex functions are r-convex functions were reached by introducing the conception of r-convex function. |
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| Keywords: | convex function G-convex function r-convex function quasiconvex function. |
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