The property in convergence of sequence of number was imported to convergence in probability and proved it in this paper.
主要把数列收敛的一些性质引进到随机变量依概率收敛中来，并加以证明。
The paper gives four kinds of convergence of sequence of random variables in probability theory, proves the relations between them.
给出了概率论中所用到的随机变量列的四种收敛性，证明了它们之间的关系。
This paper studies the concept of infinitesimal and infinity, and discusses the convergence of sequence, function and series with the estimation of the orders.
文章通过对无穷小量与无穷大量的阶的概念研究，用阶的估计讨论数学分析中数列、函数及级数收敛问题，也为收敛问题深入研究提供了一种方法。
The object is to introduce a perturbed iteration method for proving the convergence of sequence of Lipschitzian pseudocontractive mapping using approximate fixed point technique.
使用近似不动点技术，采用摄动迭代方法，目的是证明利普希茨伪紧缩映射序列的收敛性。
The convergence of the optimal value and optimal solution of the stochastic programming are given as the function sequence is epi-convergence and the random variable sequence is square convergence.
主要讨论了一类随机规划在函数序列上图收敛和随机变量序列均方收敛意义下，该类随机规划的最优解和最优值的收敛情况。
Using the error bounds, we give a condition for convergence of the sequence of iterates generated by projected gradient methods.
最后，通过这些误差界，我们给出了由投影梯度方法产生的迭代序列收敛的条件。
In this paper, we discuss the properties of matrix continued fractions, and obtain some results for the convergence of the sequence of matrix continued fractions.
本文研究了矩阵连分式的性质，获得了关于矩阵连分式序列收敛性的一些结果。
A convergence theorem for the sequence of arbitrary random variables is obtained.
得到了任意随机变量序列的收敛性定理。
Let be a -mixing random variable sequence, and it is proved to be a theorem of complete convergence under the condition of slow mixing speed and non-identity distribution.
设为随机变量序列，文章在较弱的混合速度且非同分布的条件下证明了其完全收敛性的一个结果。
Some convergence theorems of iterative sequence for quasi-nonexpansive mappings and continuous mappings are also obtained in the strictly convex metric Spaces.
同时给出了严格凸度量空间上拟非扩张映象、连续映象迭代序列的收敛性定理。
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。
This paper defines the different convergence of Fuzzy set sequence from the point of continuity and discusses the relation of them.
本文从连续的角度讨论了模糊集序列的更为广泛的收敛性，这对讨论模糊随机变量序列的收敛性有重要意义。
In this paper, we investigate the iterated order and iterated convergence exponent to zero sequence of the solutions of some classes of differential equations.
本文研究了几类微分方程解的迭代增长级及零点迭代收敛指数。
Then a solution sequence, which consists of an accurate linear term and nonlinear compensation term, is constructed and its uniform convergence to the optimal solution of the system is proven.
其次，构造了该问题族的由精确线性项和非线性补偿项组成的解序列，并证明了解序列一致收敛到系统的最优解。
Under some conditions, we obtain the precise estimates of the orders of growth and of the exponents of convergence of the zero - sequence of the solutions of the above equations.
在一定的条件下，得到了上述方程解的增长级与零点收敛指数的精确估计。
A convergence of Ishikawa iteration sequence with errors is investigated in this paper for asymptotically nonexpansive mapping in uniformly convex Banach Spaces.
特别讨论了积空间中渐近非扩张映射的不动点问题，研究了某些非扩张映射迭代序列在特定条件下的收敛性问题。
Under suitable conditions, the existence and uniqueness of solutions of the that inclusion and the convergence and almost stability of the sequence generated by the iterative al.
在适当的条件下，证明了该完全广义强非线性拟变分包含解的存在性及唯一性，并且得到了迭代算法的收敛性和几乎稳定性。
In this paper, based on -, the uniform convergence of the Kth order weak bounded variation functions on the sequence Spaces were investigated. Some equivalent conditions were also obtained.
本文在原有研究结果的基础上，讨论了叙列空间上的弱k级有界变差函数的一致收敛问题，得到了若干有关一致收敛的等价条件。
By using the analytic approach, the problems of the convergence about the random selection function sequence are discussed and some strong laws of large Numbers are obtained.
利用分析方法讨论随机选择函数列的收敛性问题，得到了一些有关的强大数定律。
In view of its features, we use sequence quadratic programming planning to solve the problem effectively, in which convergence carries through fast and the stability is fine.
根据问题的特点，本文采用了收敛速度快、稳定性好的序列二次规划法对模型进行了有效求解。
Prove one simple nature of convergence for sequence of Numbers, Popularize this to convergence series.
证明了收敛数列的一个简单性质。
Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.
研究了函数序列关于弱收敛概率测度序列积分的极限定理，给出了概率测度弱收敛的若干新的等价条件，得到了期望泛函序列上图收敛的一个充分条件。
Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.
研究了函数序列关于弱收敛概率测度序列积分的极限定理，给出了概率测度弱收敛的若干新的等价条件，得到了期望泛函序列上图收敛的一个充分条件。
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