[1]高晔,张庆祥,邢苗.半局部半(E,F)-凸函数及其性质[J].江西师范大学学报(自然科学版),2014,(01):58-61.
　GAO Ye,ZHANG Qing-xiang,XING Miao.Semilocal Semi(E,F)-Convex Function and It's Properties[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(01):58-61.
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半局部半(E,F)-凸函数及其性质()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年01期
页码:
58-61
栏目:
出版日期:
2014-02-28

文章信息/Info

Title:
Semilocal Semi(E,F)-Convex Function and It's Properties
作者:
高晔;张庆祥;邢苗
延安大学数学与计算机科学学院,陕西延安,716000
Author(s):
GAO Ye；ZHANG Qing-xiang；XING Miao
关键词:
局部星形(E; F)-凸集; 半局部半(E; F)-凸函数; 半局部半(E; F)-拟凸函数; 半局部半(E; F)-伪凸函数
Keywords:
local starshaped (E; F)-convex set; semilocal semi (E; F)-convex function; semilocal semi (E; F)-quasi convex function; semilocal semi(E; F)-pseudo convex function
分类号:
O174.13
文献标志码:
A
摘要:
基于局部星形凸集、半(E,F)-凸函数和半局部凸函数的定义,给出了一些新的广义凸函数的概念,即半局部半(E,F)-凸函数、半局部半(E,F)-伪凸函数、半局部半(E,F)-拟凸函数、半局部半(E,F)-严格凸函数和半局部半(E,F)-强凸函数,进而研究了这些广义凸函数的性质.
Abstract:
The definitions of some generalized convex functions are presented by using the concepts of local starshaped set,semilocal convex function and semi(E,F)-convex function,which are semilocal semi(E,F)-convex function,semilocal semi(E,F)-quasi convex function,semilocal semi(E,F)-pseudo convex function,semilocal semi(E,F)-strict convex function,and semilocal semi(E,F)-strong convex function.The properties of these generalized convex functions are researched.

参考文献/References:

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备注/Memo

备注/Memo:
陕西省教育厅专项科研基金(06JK152)；陕西高水平大学建设专项资金(2012SXTS07)；延安大学重点科研(YDZ2012-04)
更新日期/Last Update: 1900-01-01