1) basic convergence uniform
基本一致收敛
1.
This paper gives the corcept of the functional basic continuous and funtion series basic convergence uniform,and some of their characters.
本文给出函数基本连续及函数列基本一致收敛的概念,并给出一些性质。
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
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。
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。
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
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。
补充资料：Weierstrass准则(关于一致收敛的)
Weierstrass准则(关于一致收敛的)
erion (for unifonn convergence) Weierstrass cri-
weierstrass准则(关于一致收敛的)[Weierstrass eri-teri佣(for.丽肠价ne哪ergence);Be益eP扭TPaeea nP。-3“aIC(pa“IloMepHO盛cxo八IIMOCTH)] 这是将函数级数(series)或序列与适当的数值级数和序列对照所给出的关于一致收敛(训如rm conver-genee)充分条件的一个定理;它是K .Weierstrass建立的(〔11).若对定义在某集合E上的实值或复值函数的级数 艺u*(x)， n盈I存在非负数的收敛级数 艺a。，使得 }“。(x){(a。，n=l，2，·…则原来级数在集合E中一致收敛且绝对收敛(见绝对收敛级数(absolutelyc~r罗nt series).例如，级数 军，S】n月X 月百j刀-在整个实数轴上一致且绝对收敛，因为 }sin nx}_1 }竺兰兰二二二}或一二一. }n一!”-而级数 瘩:告收敛. 若集合E上的实值或复值函数序列人(n二l，2，…)收敛于函数f，且存在数列戊。(:，>0)，当”~的时:。~0，使得If(x)一f。(x)}簇戊。(x〔E，n二1，2，一)，则序列在E上一致收敛.例如序列 f(二卜l一上卫兰 X‘+n在整个实数轴上一致收敛于函数f(x)=1，因为 ，，一f。(x)、<告且浊寺一。.关于一致收敛的Weierstrass准则也可以应用于在赋范线性空间中取值的函数.
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