1) approximately uniform convergence
近似一致连续
4) uniformly continuity
一致连续
1.
Some problems about uniformly continuity;
关于函数的一致连续问题
2.
Some sorts of the uniformly continuit function in the infinite interval are given from the definition of the uniformly continuity of function.
从一致连续性的定义出发,给出了无穷区间上一致连续函数的几种类型。
3.
This paper discusses the uniformly continuity of power function y=x~α on respective domain of definition
对幂函数y=x~a的幂指数分a>1,0
5) Uniformly continuous
一致连续
1.
Proves the function uniformly continuous several theorems;
证明函数一致连续的几个定理
2.
The definitions and theorems of uniformly continuous function are made a summary, and the closer ties between the boundness and uniform continuity of function are stated here.
对函数的一致连续性的定义、定理加以系统的总结,指出了函数的收敛性和导数有界性与函数的一致收敛性的紧密联系。
3.
Let T:K→K be a uniformly continuous and Φ-hemicontractive mapping.
设T:K→K为一致连续Φ-半压缩映射。
6) uniform continuity
一致连续
1.
Continuity,uniform continuity,uniform convergence and equicontinuity are very important qualities of functions or sequence of functions.
连续、一致连续、一致收敛和等度连续是函数或函数列非常重要的性质。
2.
Based on the conclusion of mathematical analysis, the relation among eqnicontinuity,uniform continuity and uniform convergence are studied again in this paper and some newresults have been obtained.
本文在数分结论的基础上对等度连续，一致连续，一致收敛等概念间的关系进行了再度探讨，得到了若干新的结果。
补充资料：近似连续性
近似连续性
approximate continuity
近似连续性【aPpro万mate continulty;..甲邢，砚ar~I.eupep‘.曰oc几] 连续性概念的一种推广，其中普通极限用近似极限(aPproximate limit)代替.函数f(x)称为在点x。是近似连续的(approximately continuous)，是指 lim aPf(x)=f(x。)· X弓xo在最简单的情形，f(x)是n维Euclid空间上的实值函数(一般地，它是向量值函数).下面的定理成立.1)实值函数f(x)在集E上Lebesgue可测的充要条件是，f在E上几乎处处近似连续(见C代naHoB一Denjoy定理(Stepanov一Denjoy theorem)).2)对于任意的有界Lebesgue可测函数f(x)，在它的每个近似连续点x。，下式成立: 。:去~lf(二)J;一f(二。)， 两风R)穿‘”’一尸其中拜是n维Lebesgue测度，R是包含x。的非退化的n维线段，而p为它的直径.【补注】有关其他参考文献，见近似极限(approximatelimit).
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