平均收敛

在Banach空间中证明了仿射半群的强平均收敛定理。

The strong mean convergence theorem for non-lipschitzian affine semigroup in a Banach space is proven .

本文讨论[0,2π]上Bochner可积函数的若干性质，并在p≥1时推广平均收敛定理。

This Paper discusses the properties of functions which are Bochner integrable on [ 0,2 π ] and extends the mean convergence theorem .

拟Hermite插值算子导数逼近的平均收敛性

Mean convergence of derivative approximation by quasi-Hermite interpolation operators

一类迭代序列Cesaro平均收敛的条件

The Conditions for the Cesaro Mean Convergence of a Class of Iterative Sequences

[0,2π]上Bochner可积函数和平均收敛定理

The Functions Which Are Bochner Integrable on [ 0,2 π ] and the Mean Convergence Theorem

关于Grunwald插值多项式算子的平均收敛阶

On the average convergence order of Grunwald interpolation polynomial operator

关于模糊值函数序列的C-I平均收敛

On the C-I average convergence for sequence of fuzzy valued functions

关于可列非齐次马氏链Cesaro平均收敛性及二元函数的强大数定律

The Convergence of The Cesaro Averages and The Strong Law of Large Numbers for Nonhomogeneous Markov Chains

主要包括积分原过程的绝对连续性，平均收敛定理，一致收敛定理和Vitali收敛定理。

The main results include the absolute continuity of the integral , the average convergence theorem , the uniform convergence theorem and the Vitali convergence theorem .

第四章我们主要利用非齐次马氏链二元函数的强大数定律及Cesaro平均收敛性来研究非齐次马氏链的Shannon&McMillan定理。

In the fourth chapter , we will study the Shannon-McMillan-Breiman theorem for countable nonhomogeneous Markov chains by applying the convergence in Cesaro sense and the strong laws of large numbers of functions of two variables for countable nonhomogeneous Markov chains .

平均收敛的推广及其充要条件

The Extension of Mean Convergence and Its Necessary and Sufficient Conditions

函数插值平均收敛性理论的近期研究

Recent Researchs of the Mean Convergence Theory of the Function 's Interpolations

关于仿射半群的平均收敛定理

The strong mean convergence theorem for aff in E semigroup

m-相依样本U-统计量r-平均收敛速度

On the rate of convergence in the r-th mean of U-statistics with m-dependent samples

遗传算法的平均收敛速度及其估计

Estimating average convergence velocity of genetic algorithms

提出了两个新的评价指标&平均收敛精度和最优解分布标准差，实验说明这两个新的指标可以有效反映算法在噪声环境下的优化性能。

Two new evaluation indexes are proposed . Test results show that the evaluation indexes can effectively reflect the optimal performance in noise environment .

研究了非负模糊可测函数列依测度收敛与广义模糊积分平均收敛之间的关系。

In chapter 3 , we study the relation between convergence in fuzzy measure of nonnegative fuzzy measurable functions and fuzzy mean convergence of ( G ) fuzzy integrals .

采用收敛概率、平均收敛时间和种群距离等评价指标以多峰函数优化问题对混合遗传算法进行了研究。

Investigations have been carried out for the optimization of multi-peak complicated function with several evaluating criterion such as convergence probability , average convergence time , average convergence value and so on .

作为这一结果的推论，还得到了依测度收敛蕴涵广义模糊积分平均收敛的几个简洁、实用的充分性条件。

Furthermore , as its corollary , we still get several terse and pragmatic sufficiency conditions where the convergence in fuzzy measure implies the fuzzy mean convergence of ( G ) fuzzy integrals .

另一方面，文中还给出了广义模糊积分平均收敛蕴涵依测度收敛的几个简洁的充分性条件，以及使两者等价的条件。

On the other hand , we also give several terse sufficiency conditions where the fuzzy mean convergence of ( G ) fuzzy integrals implies the convergence in fuzzy measure and making them equivalent .

给出了依测度收敛蕴涵广义模糊积分平均收敛的一个充分必要条件，这一结果是文[8]定理3的改进。

We give a sufficient and necessary condition where the convergence in fuzzy measure implies the fuzzy mean convergence of ( G ) fuzzy integrals . The result is an improvement of Theorem 3 in [ 8 ] .

文中对该算法进行了详细的阐述，并将其应用到服装设计中，通过实例验证了改进后的算法在平均收敛代数和收敛到最优解的概率都优于直接操作的交互式遗传算法。

The algorithm is detailed introduced in this paper , and applied to the fashion design . It is better than direct manipulation of interactive genetic algorithm both in the average convergence algebra and probability of convergence to the optimal solution . Finally , conclusions of the thesis are made .

Lagrange插值多项式1/2平均的收敛阶

The Convergence Order Of Interpolation Process By " 1 / 2 " Average Of Lagrange Polynomials

研究了函数极限与积分可交换的问题，利用了平均一致收敛的定义，给出了一个比一致（R）可积性弱的充分条件。

The convertible problem of function limit and integral is discussed in the paper . By using a definition of mean uniform convergence , the authors proves a sufficient condition better than uniform ( R ) integral .

仿真结果表明使用本文提出的快速收敛算法后，所产生的网络收敛时间以及平均网络收敛时间只有当前默认BGP实现方案中该时间的40%或者更少，这在一定程度上降低了BGP路由震荡。

The results show that the average network convergence time and the network convergence time based on our algorithm are only 40 % of which in the current BGP mechanism , and the fast convergence algorithm presented in this thesis can reduce the BGP route flap . 3 .

关于（LF）空间中随机元序列的平均值的收敛性

Concerning the Convergence of the Mean of Random Elements in a ( LF ) - Space

典型群上富里埃级数Riesz球平均的一致收敛性

Uniform Convergence for Riesz Spherical Means of Fourier Series on Classical Groups

关于移动平均过程完全收敛性的研究

The Research for Complete Convergence of Moving Average Processes

激励学习的广义平均算法及其收敛性

Generalize Average Algorithm for Reinforcement Learning and Its Convergence

数列算术平均序列的收敛性

Convergence of Arithmetic Mean Sequence for a Number Sequence