With the aid of the geometry method,this paper presents the estimated values of the convergent reminders of certain important convergent sequences.
对某些重要的收敛序列,借助几何直观方法估计了它们的收敛余项。
In general,the convergent sequence and bounded set are concepts only in topological spaces.
收敛序列和有界集一般是拓扑空间中的概念 ,文章首先引入序列收敛 C和 L* -空间 (给出某种序列收敛关系的向量空间 ) ,然后在其中定义有界集 。
Main results are:① every implication open(closed)ball with radius not less then the norm of the heart point is an MP-filter;② every convergent sequence has unique limit;③ every convergent sequence is a Cauchy sequence;④ if a Cauchy sequence {xn} has a subsequence which converges to a point x,then {xn} converges to x too.
证明了:①每一半径不小于球心范数的蕴涵开(闭)球都是MP滤子;②每个收敛序列都有唯一的极限;③每个收敛序列都是Cauchy列;④如果一个Cauchy列{xn}的某个子列收敛于点x,则该Cauchy列本身也收敛于点x。
The paper deduces a conclusion about sequential convergence on the c semigroup from main lemma in the article , and studies the property by analyzing its generator spectrum.
在文献 [2 ]主要引理的基础上 ,得到关于C -半群序列收敛的一个定理 ,该定理通过生成元的谱来分析半群序列的收敛性 ,并给出另一定理的简化证
In this paper,a sequential convergence in vector space is first given,then,from the sequential neighborhoods,the additive filterbase of absolutely convex absorbing sets is obtained,a local convex topological vector space,LCL space,is constructed.
首先在线性空间中给出一个序列收敛关系 ,然后利用列邻域得到了由绝对凸吸收集构成的可加滤子基 ,进而构成了局部凸空间—— L CL空间 ,文中证明了 L CL空间的重要特征是序列连续性等价于拓扑连续性 ,并讨论了 L CL空间的拓扑结构 。
In this paper,we give some results of sequential convergence in substitution spaces P_BB_s.
本文首先给出置换空间P_BB_s上线性连续泛函的表现定理,进而建立置换空间及其对偶的各种序列收敛定理。
Spherical means of radial function and its pointwise convergence;
向径函数的球面平均及其点态收敛性
The pointwise convergence problem of Cesdro means of critical order of Fourier-Laplace series on sphere is discussed in the paper.
研究了球面函数的Fourier—Laplace级数的临界阶Cesaro平均的点态收敛问题,给出了临界阶Cesaro平均收敛的Gergen型判别法。
The equivalence relation between the convergence of function sequence and that of the graph-distance;
函数序列收敛与图距离收敛的等价关系
Study on EPI Convergence and Weaker Condition of Function Sequence Convergence
EPI收敛与函数序列收敛弱化条件的研究
Some Discussion on the Relation of Convergence of Random Variable Sequence;
关于随机变量序列收敛性关系的探讨
The resulting sequence will usually converge.
解序列一般说是收敛的。
Convergence of the Bootstrap for Dependent Random Variables;
NA随机序列的bootstrap收敛性
The Convergence Rate and Strong Convergence of the Sums for Random Variables Series;
r.v.序列部分和的收敛速度及其强收敛性
The Relationship between Complete Convergence and Some Convergence of Measurable Function;
完全收敛性与可测函数序列几种收敛性的关系
Are China s Regional Economies Converging?--A Study of Stochastic Convergence and β Convergence Based on Time Series;
中国区域经济增长收敛吗?——基于时序列的随机收敛和收敛研究
Complete Convergence for Subsequences of Identical Distributed NQD Pairwise Sequences;
同分布两两NQD列的子序列完全收敛性
Monotone Convergence Theorems for the Integration of Function Sequence with respect to Weak Convergence Probability Measure Sequence
函数序列关于弱收敛概率测度序列积分的单调收敛定理
Monotone Convergence Theorems for the Integration of Function Sequence with Respect to Almost Everywhere Weak Convergence Probability Measure Sequence
函数序列关于几乎处处弱收敛概率测度序列积分的单调收敛定理
The Almost Sure Convergence of NA Sequence and (?)-mixing Sequence;
一类NA序列、（？）混合序列的几乎必然收敛性
If a sequence is not convergent, it is divergent.
如果一个序列不收敛，我们称它发散。
On Inverse Moments for Nonnegative Weakly Convergent Random Variables;
关于非负弱收敛随机变量序列的逆矩
Almost Sure Convergence for Random Sequence under Moment Conditions;
矩限制下随机序列的几乎必然收敛性
Asymptotic Convergence for Weighted Sums Sequences of ARCH(∞) Model;
ARCH(∞)模型加权和序列的渐近收敛性
Complete Convergence for Partial Sums of Stationary NA Sequence;
同分布NA序列部分和的完全收敛性
Strong law of large Numbers and Complete Convergence for Sequences of -mixing Random Variables;
混合序列的强大数律和完全收敛性