1) quasiconvex
拟凸
1.
When H(y,x)is assumed to be nondecreasing inγ∈R and convex and radial and positively homogeneous of degree 1 in x∈R~m,the uniqueness of bounded viscosity solutions is established with bounded continuous initial data u(p,0)=g(p),the solution is given by the Hopf-Lax formula u(p,t)=min_(q∈G){h(t/q~(-1)·P)V g(q)} where h is the quasiconvex dual of H(y,x)i.
当函数H(y,x)对变量y∈R是单调增的,而关于变量x∈R~m是凸的、径向且一阶齐次时,建立了该方程在有界连续初值u(p,0)=g(p)下有界粘性解的存在唯一性,其解由Hopf-Lax公式给出u(p,t)=min_(q∈G){h(t/q~(-1)·p)V g(q)},其中函敦h是由函数H(y,z)关于变量x∈R~m的拟凸对偶提升到G上的,且关于Carnot-Carathéodory距离是径向的。
2.
In this paper, a new family of real functions which is related with(p,r)-pre-invex functions, called p-quasiconvex functions, is introduced.
(p ,r)_前_不变凸函数是最近出现的函数概念 ,该文提出了一类与之相关的广义凸函数———p_拟凸函数 ,探讨了它与一些熟知的广义凸函数间的关系和它的有关性质 。
3.
We prove the equivalence between rank-one convex and quasiconvex when the function is a homogenous polynomial of odd order or a polynomial of order 3.
证明了齐次奇次多项式或三次多项式的情形下秩 - 1凸与拟凸的等价性 。
2) quasi convex
拟凸
1.
The continuity and differentiability properties of quasi convex functions are discussed,and the specific properties of one real variable of the functions are also given.
讨论了拟凸函数的连续性和可微性。
3) A quasiconvexity
A拟凸
4) non-quasiconvex
非拟凸
5) 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。
6) C-quasi-convex
C-拟凸
补充资料：凸凸
1.高出貌。
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