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广义凸集与广义凸函数
引用本文:沈轶,胡适耕,黄正海.广义凸集与广义凸函数[J].华中科技大学学报(自然科学版),1997(Z1).
作者姓名:沈轶  胡适耕  黄正海
作者单位:Shen Yi Dept. of Mathematics,HUST,Wuhan 430074,China. Hu Shigeng Huang Zhenghai
摘    要:引入几种广义凸集概念,利用这些概念统一并推广了广义凸函数概念,指明了各种广义凸性之间的相互关系,给出了所得结果对于一定不等式系统的应用.

关 键 词:广义凸集  广义凸函数  不等式系统

The Generalized Convex Set and Generalized Convex Function
Shen Yi Dept. of Mathematics,HUST,Wuhan ,China. Hu Shigeng Huang Zhenghai.The Generalized Convex Set and Generalized Convex Function[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1997(Z1).
Authors:Shen Yi Dept of Mathematics  HUST  Wuhan  China Hu Shigeng Huang Zhenghai
Institution:Shen Yi Dept. of Mathematics,HUST,Wuhan 430074,China. Hu Shigeng Huang Zhenghai
Abstract:Several concepts of the generalized convex set are used to unify and generalize the concepts of generalized convex function. The relationships among various generalized convexities are pointed out. The applications of the results obtained to certain inequality systems are given.
Keywords:generalized convex set  generalized convex function  inequality system  
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