p-泛函的最小化函数

我们证明了当p1时,p-泛函的最小化可通过C1,α函数得到。     

A Study of Downward Sets with p-Functions

In this paper, we study downward sets and increasing functions in a topological vector space and their similarities to the convex sets and convex functions. It will be shown that a very special increasing function, namely, the p-function, can give a geometric interpretation for separating downward sets from outside points. Also, this function can be used to approximate topical functions in the framework of abstract convexity.     

伸张函数增长阶的估计

本文建立了Beurling-Ahlfors扩张的伸张函数的一个新的估计式,并对当ρ-函数在递减函数控制下伸张函数的增长阶进行了估计,改进了已有的结果,得到估计式: 当ρ(y/2)≥2时,D(x,y)≤2ρ(y/2); 当1≤ρ(y/2)<2时,D(x,y)2≤ρ(y/2)+1/2.     

NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS IN C SPACE

1IntroductionItiswellknownthatifsupr(t)=r1相似文献