Several theorems about non-uniform convergence and a few examples were used to explain the application of them.
本文给出了非一致收敛的几个定理 ,并以较多的实例说明它们的应用。
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
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
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
A judging theorem about function sequence uniformly convergent;
关于函数列一致收敛的一个判定定理
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。
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。
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。
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。
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。
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。
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
Uniform Convergence, Convergence and Weak Convergence;
一致收敛 点点收敛 弱收敛之关系探讨
Absolute&Uniform Convergence of Infinites with Interegral Parameters;
含参变量积分的一致收敛和绝对一致收敛
Function Series Convergence and Uniform Convergence;
关于函数列收敛与一致收敛的一点思考
Employing Laplace Transform to Discuss the Absolute Convergence and the Uniform Convergence of Dirichlet Series;
利用Laplace变换讨论Dirichlet级数的绝对收敛与一致收敛
A judging theorem about function sequence uniformly convergent;
关于函数列一致收敛的一个判定定理
The Estimation of Consistent Convergence about a Kind of Function Series;
关于一类函数级数一致收敛性的判别
A Sufficient Condition about Convergence Uniform of Function and a Sufficient and Necessary Condition about Convergence of Positive Series;
函数列一致收敛的一个充分条件和正项级数收敛的一个充要条件
M-test of Weierstrass for uniform convergence
维尔斯特拉斯的一致收敛M判别法
Uniform Convergence of Lagrange Interpolation Polynomials;
关于Lagrange插值多项式的一致收敛性
Convergence Uniform on the Fuzzy Interval Value Functions Series;
Fuzzy区间值函数项级数及其一致收敛性
Convergence Uniform and Two-Direction Continuation about Function Array {f_n(x)};
函数列{f_n(x)}的一致收敛与双向连续
On the properties of Sum Function at the Condition of Semi - Convergence Uniform;
亚一致收敛条件下和函数的分析性质
Proof of the Function Seies Convergence Uniform Theorem and Necessary and Sufficient Condition in General Integral Convergent;
函数项级数一致收敛定理的证明和广义积分收敛的充要条件
Analysis of Uniform Convergence for Difference Scheme of a Singularly Perturbed Problem
一类奇异摄动问题差分格式的一致收敛性分析
The Uniform and Absolute Convergence of Infinite Integral with a Parameter
关于含参变量无穷积分的绝对一致收敛的注记
The Bounds on the Rate of Uniform Convergence of Learning Processes on Sugeno Measure Space;
Sugeno测度空间上学习过程一致收敛速度的界
The Bounds on the Rate of Uniform Convergence of Learning Process on Possibility Spaces;
可能性空间上学习过程一致收敛速度的界
Key Theorem & Bounds on the Rate of Uniform Convergence of Fuzzy Learning Theory;
模糊学习理论的关键定理和一致收敛速度的界