严格F-G广义凸函数  

Strictly F-G Generalized Convex Functions

作　　者：赵宇[1] 黄金莹[1] 刘春妍[1] 

机构地区：[1]佳木斯大学理学院,黑龙江佳木斯154007

出　　处：《杭州师范大学学报（自然科学版）》2011年第1期20-26,共7页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：黑龙江省教育厅科学技术研究项目(11551499)

摘　　要：给出一类新的广义凸函数——严格F-G广义凸函数,并给出条件P1、P2及其性质,研究严格F-G广义凸函数的若干性质,给出严格F-G广义凸函数的两个充分条件,指出在一定条件下,满足中间点严格F-G广义凸性的F-G广义凸函数是严格F-G广义凸函数,满足中间点严格F-G广义凸性的半严格F-G广义凸函数是严格F-G广义凸函数.最后给出严格F-G广义凸函数在极小化问题中的一个实际应用.This paper gives a new class of generalized convex functions-strictly F-G generalized convex functions, and the conditions P1, P2 as well as their properties. It studies on the properties of strictly F-G generalized convex functions, gives two sufficient conditions of strictly F-G generalized convex functions, and points out that under certain conditions, F- G generalized convex functions which satisfies intermediate-point strictly FG generalized convexity is strictly F-G generalized convex functions, and semi-strictly F-G generalized convex functions which satisfies intermediate-point strictly F-G generalized convexity is strictly F-G generalized convex functions. And the paper provides a realistic application of strictly F- G generalized convex functions in minimization problem.

关 键 词：严格F-G广义凸函数 F-G广义凸函数 条件P1 条件P2 

分 类 号：O174.13[理学—数学]