1) E-logarithmic convex function
E-对数凸函数
1.
In this paper,we obtain two sufficient and neces- sary conditions of the judging differentiable function whether it be E-convex function or not be given,and we present four new conclusions——the E-Hes- sian matrix,E-logarithmic convex function,the E-Jensen type inequality and E-logarithmic Jensen type inequality.
对判断可微函数为E-凸函数的两个充要条件给予了证明,并提出了E-Hesse矩阵、E-对数凸函数,且提出并证明了E-Jensen不等式和E-对数Jensen不等式。
2) E-convex function
E-凸函数
1.
Strong E-convex set,strong E-convex function and strong E-convex programming;
强E-凸集,强E-凸函数和强E-凸规划
2.
On level sets of E-convex function and E-quasiconvex function
有关E-凸函数和E-拟凸函数的水平集
3) E-convex functions
E-凸函数
1.
Some new properties of their E-convex functions are discussed on the basis of the former researches,and their applications in optimization are researched,some of established Conclusions expanded,these functions perfected.
在已有研究基础上,对几类E-凸函数进行了研究,得出了它们的一些新性质,并研究了它们在最优化问题中的应用,推广了以前的部分结论,完善了这几类非凸函数。
2.
Recently a new criterion of quasi-semi-E-convex functions was introduced by Peng in 2006 for a new criterion of quisi-semi-E-convex functions.
最近,彭在文献[1]中提出了关于拟半E-凸函数的一个判别准则。
4) E-convex functions
E凸函数
5) semi-E-convex function
半-E-凸函数
1.
Furthermore,this theorem is generalized to the case of pseudo-semi-E-convex function and quasi-semi-E-convex function and the extent of its usage is enlarged.
对文献[2]中定理12进行研究,并在此基础上得到了一个判断不动点为最优解的必要条件,而且把该定理推广到了拟-半-E-凸函数与伪-半-E-凸函数的情形,拓展了该定理的应用范围。
2.
In the literature ,the two authors have studied E-convex sets,E-convex function and semi-E-convex function and obtained some properties of them.
文献[1,2]已对E-凸集,E-凸函数,半-E-凸函数进行了研究,得出了一些性质。
6) Pseudo-E-Convex functions
伪-E-凸函数
补充资料：对数凸性
对数凸性
convex! t>.logarithmic
对数凸性(伽ve劝ty，l呢arithmic;.b.叩目阅‘.‘JJa.叫.M“-，恻翻〕 定义在区间上非负函数了的下述性质:若对j一区间中任意两点.、.与x，以及满足p十pZ二!的丁r意数P)O，P:>O，不等式 加!x，+p之x之)嘱、尸‘(x，)尸2(一、:)成立，则称.厂为对攀0妙门卿rithmlolls onVe、)瑕如一个函数是对数凸的，那么它或者恒等于0或者是严格正的且Inf为凸函数(实变量的)(eonVex几，netion(of a real variable)).几』飞Ky叩，l，x爬B撰卜斯宙译
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条