| F-G广义凸函数的若干性质 |
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| 引用本文： | 康兆敏,赵宇,方秀男. F-G广义凸函数的若干性质[J]. 贵州师范大学学报(自然科学版), 2011, 29(2): 72-76 |
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| 作者姓名： | 康兆敏 赵宇 方秀男 |
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| 作者单位： | 佳木斯大学理学院数学系,黑龙江佳木斯,154007 |
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| 基金项目： | 黑龙江省教育厅科学技术研究资助项目(No.11551499) |
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| 摘 要： | 给出F-G广义凸函数、中间点F-G广义凸函数、F拟凸函数等概念,通过定义条件P1,P2,研究条件P1,P2所蕴含的等式关系,给出F-G广义凸函数的若干性质,并指出在一定条件下,f在K上是F-G广义凸函数的充分必要条件是f在K上既是中间点F-G广义凸函数也是F拟凸函数.
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| 关 键 词： | F-G广义凸函数 中问点F-G广义凸函数 F拟凸函数 |
Properities of F-G generalized convex functions |
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| KANG Zhao-min,ZHAO Yu,FANG Xiu-nan. Properities of F-G generalized convex functions[J]. Journal of Guizhou Normal University(Natural Sciences), 2011, 29(2): 72-76 |
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| Authors: | KANG Zhao-min ZHAO Yu FANG Xiu-nan |
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| Affiliation: | KANG Zhao-min,ZHAO Yu,FANG Xiu-nan(Department of Mathematics,Jiamusi University,Jiamusi,Heilongjiang 154007,China) |
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| Abstract: | This paper gives definitions ofF-G generalized convex functions,intermediate-point F-G generalized convex functions andFquasi convex function.Through defining conditions P1and p2,we study the equality relation between conditions P1and p2.Furthermore,we give the properities of F-G generalized convex functions and point out that under certain conditions,f is F-G generalized convex functions over K if and only if f is intermediate-point F-G generalized convex functions and Fquasi convex function over K. |
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| Keywords: | F-G generalized convex function intermediate-point F-G generalized convex function Fquasi convex function |
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