1) cone quasiconvex vector function
锥拟凸向量函数
1.
This paper summarizes several different definitions of cone quasiconvex vector functions proposed in different literatures and discusses the relations among them.
锥拟凸向量函数的概念是通常实值函数拟凸性的拓广。
2) convex vector function
凸向量函数
3) quasiconvex function
拟凸函数
1.
In this paper,we have obtained some criteria for strongly quasiconvex funtions,and have given some characteristics among quasiconver functions,strictly quasiconvex functions and stronly quasiconvex functions.
本文主要讨论了拟凸函数、严格拟凸函数及强拟凸函数之间的关系，得到了某些新的结论，推广了文［１］中的几个主要结论。
2.
Some errors that come from the related literatures were pointed out and corrected,and some properties and determinant criterion of E-quasiconvex functions were provided.
指出相关文献中讨论E-拟凸函数及其性质时出现的一些错误,并作了相应的更正。
3.
Some new properties of explicitly quasiconvex functions are presented in this paper.
提出了显拟凸函数的若干新性质。
4) quasiconvex
拟凸函数
1.
According to the article 1 ,we will give some definitions of quasiconvex function,and discuss their equivalent.
在文献1的基础上,给出了拟凸函数的几种定义形式,并讨论了它们之间的等价关系。
5) quasi-convex functions
拟凸函数
1.
Some second order characteristics of pseudo-convex functions,strictly pseudo-convex functions and quasi-convex functions are given.
定义了一种新的广义 Hessian 矩阵 H_(x_1,x_2)(x),并利用该矩阵对二阶可微广义凸函数——伪凸函数、严格伪凸函数和拟凸函数进行了讨论,得到了它们的一些性质。
6) quasiconvex functions
拟凸函数
1.
[1],Yang presented characterizations of quasiconvex functions,strictly quasiconvex functions,and strongly quasiconvex functions respectively under a certain set of conditions.
在文献[1]中,杨新民教授分别介绍了拟凸函数、严格拟凸函数和强拟凸函数的一些特性,以及它们在一定条件下的性质。
2.
The author proves that a closed weakly nearly convex set is convex, and some equivalent conditions for quasiconvex functions are obtained by applying the results.
在本文中,作者证明了闭的弱近似凸集是凸集,并用此结论获得了拟凸函数的一些等价条件。
补充资料：凸锥
凸锥
convex cone
凸锥【阴vex仪扣e;阳叮‘l成.陇叮cl 从一点(凸锥的顶点)出发的射线构成的凸体(con-vex body)V.这个定义把V等同于全空间的情况排除在外.凸锥的概念包括二面角和半空间等概念作为其特殊情况.凸锥有时指的是这个锥体的表面.
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