拟一致收敛,quasi-uniformly convergent

1)quasi-uniformly convergent
拟一致收敛

2)uniform convergence
一致收敛
1.
Heine theorem of uniform convergence of generalized integral with variable paramater;
含参变量广义积分一致收敛的Heine定理


2.
The uniform convergence for a kind of function sequence and its applications;
一类函数序列的一致收敛性及应用


3.
Necessary and sufficient conditions on uniform convergence with functional series
关于函数项级数一致收敛判别法的充要条件


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3)uniformly convergent
一致收敛
1.
A judging theorem about function sequence uniformly convergent;
关于函数列一致收敛的一个判定定理


2.
In this paper we show that f is equicontinuous if and only if one of the following holds: (1) {f j·4! } ∞ j=1  is uniformly convergent.
证明 8字空间上连续映射 f:8→ 8是等度连续的充分必要条件是下列条件之一成立 :( 1 ) {fj·4!}∞j=1 是一致收敛的 ;( 2 )存在一个正整数k ,使得 {fj·k}∞j=1 是一致收敛的。


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4)convergence uniform
一致收敛
1.
On the basis of the concepts of complex fuzzy—valued function s series and convergence uniform, this paper discusses some complementary discrimination principles of the convergence uniform.
在给出复Fuzzy值函数级数及其一致收敛的概念的基础上,讨论了复Fuzzy值函数级数的一致收敛的一些补充判别法则。


2.
On the basis of the concepts of the complex fuzzy-valued function s series and convergence uniform, this paper complements discrimination priciples of the convergence uniform and discusses some properties of the complex fuzzy-valued functions series under convergence uniform.
在给出复Fuzzy函数级数及其一致收敛的概念的基础上,补充了复Fuzzy函数级数一致收敛的判别方法并讨论了一致收敛的复Fuzzy函数级数的若干性质。


3.
This paper gives the proof of function series convergence uniform theorem in paper [1] by construction method and seek for necessary and sufficient condition in general integral convergent further.
用构造的方法,给出文[1]中函数项级数一致收敛定理的证明,并探索、研究广义积分收敛的充要条件。


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5)uniformly convergence
一致收敛
1.
The variable structure control problem of singular distributed parameter system is studied and uniformly convergence is considered.
研究广义分布参数扰动系统的变结构及其一致收敛问题。


2.
By using the geometer s sketchpad,and describing functional series figure and utilizing animation function,the problem of uniformly convergence of functional series becomes from abstract to concrete,from phenomenon to essence,from part to all,and it was turned from abstract into direct-viewing,and transferred from difficulty to ease.
利用几何画板,通过描绘函数列的图像和使用动画功能,可以使函数列一致收敛问题由抽象到具体,由现象到本质,由局部到全体,化抽象为直观,化难为易,帮助我们充分理解函数列一致收敛的思想,牢固掌握函数列一致收敛性的判别方法,深刻理解函数列在不同区间上所体现的性质。


3.
In this paper we study the generalization of the uniformly convergence in mathematical analysis,quote the concept of second uniformly convergence to functional series and integral with parameter.
将数学分析中一致收敛性的概念加以推广 ,分别对函数项级数和含参量积分引入次一致收敛的概念 ,证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件 ,推广了数学分析中的相应结


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6)consistent convergence
一致收敛
1.
The adhibition of magnify on differentiation of consistent convergence about function term progression;
放大法在判别函数项级数(函数列)一致收敛时的应用


2.
This paper will discuss about the properties and theorem of function sequence and consistent convergence.
我们将要讨论一致收敛函数列的若干性质和判定方法。


3.
However,this study should be based on the fact that the series must have consistent convergence,the judgment of which is rather difficult.
对于函数级数,研究其和函数的解析性质很重要,但函数级数必须具有一致收敛性,而判断函数级数的一致收敛性往往是比较困难的。


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补充资料：拟一致收敛


拟一致收敛
quasi-uriform convergence

拟一致收敛t卿a威一翻而nnc回erg叨ce;姗””p妞”。·MeP.a二cxo及.MocT‘] 一致收敛(U址fon们convergence)的一种推广.从拓扑空间X到度量空间Y内，点态收敛于映射f的映射序列{f，}称为拟一致收敛的，如果对于任意:>。及任意正整数N。存在X的可数开搜盖{r。，r、，…}及大于N的正整数序列。。，陀、，…，使得对于所有x〔r*，有p(f(x)，f。*(x))<。.一致收敛蕴涵拟一致收敛.对于连续函数序列，拟一致收敛是其极限函数连续的必要充分条件(Arze恤一An比caH-即oB定理(Arze恤一A】e抽an山ov lh eon万n)).

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拟一致收敛,quasi-uniformly convergent