F-G广义凸函数的若干性质  

Properities of F-G generalized convex functions

作　　者：康兆敏[1] 赵宇[1] 方秀男[1] 

机构地区：[1]佳木斯大学理学院数学系,黑龙江佳木斯154007

出　　处：《贵州师范大学学报（自然科学版）》2011年第2期72-76,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：黑龙江省教育厅科学技术研究资助项目(No.11551499)

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.This paper gives definitions of F-G generalized convex functions, intermediate-point F-G gen- eralized convex functions andFquasi convex function. Through defining conditions P1 and P2 , we study the equality relation between conditions P1 and p2 . Furthermore ,we give the properities of F-G generalized convex functions and point out that under over K if and only iffis intermediate-point F-G over K. certain conditions, f is F-G generalized convex functions generalized convex functions and Fquasi convex function

关 键 词：F-G广义凸函数 中间点F-G广义凸函数 F拟凸函数 

分 类 号：O174.13[理学—数学]