Several conclusions of bounded variation in infinite integration convergence;
有界变差在无穷积分收敛中的几个结果
An infinite product which contains a parameter is expanded to Laurent series.
把一个含参数的无穷乘积展成Laurent级数。
At s=1,the infinite product and Dirichlet series realization of Einstein series with character is derived.
求得带特征Einstein级数在s=1处的无穷乘积表达式,对于两个特定的特征,求得它的Dirichlet级数表示。
This paper will focus on a class of infinite computations called convergent infinite computations and establish a logical framework for describing and analyzing how an infinite computation interacts and evolves in changing environments and what the limit of the evolution might be.
基于形式系统序列及其极限 ,讨论一类称为收敛无穷计算的问题 ,旨在建立刻画无穷计算在变化的环境中如何交互与演化以及演化的极限状态的逻辑理论基础 。
According to the infinite product and the progression relation and the relevant progression theories, probing into the convergence and pergence of the infinite product of variable terms including the absolute convergence and the conditional convergence, the author has given several criteria on the convergence and pergence.
依据无穷乘积与级数的关系以及有关级数理论 ,对任意项无穷乘积的敛散性包括绝对收敛、条件收敛进行讨论 ,并给出了几种敛散性判别
Discussion on the Limit Becoming Zero of Integrand When the Infinite Integral converges;
关于无穷积分收敛被积函数极限为零的条件探讨
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
Relation and Application of Convergence and Divergence Between Nonnegative Infinite Integral and Series
非负无穷积分与级数之间敛散性的关系与应用
The Application of Order-estimate Method in Determining Convergence and Divergence of Infinite Integration
阶的估计法在判定无穷积分敛散性问题中的应用
The Problem of Convergence of Infinite Series in Banach Space;
Banach空间中无穷级数收敛性问题
LSRS Convergence Theorem of Mcshane Integral;
Mcshane积分的LSRS收敛定理
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
Convergence and pergence of infinite series depend upon this concept.
无穷级数的收敛性与发散性与此概念有关。
Boundedness of the Set of Infinite Matrix Transformations about Convergence-Free Space;
收敛自由空间无穷矩阵变换集的有界性
The Judging Method on Convergence of the Infinite Series in Banach-space;
完备赋范空间中无穷级数的收敛判别法
Order of convergence of Fejer-Korovkin singular integral in orlicz spaces;
Fejer-Korovkin奇异积分在Orlicz空间中的收敛阶
An New Rate of Convergence of the Integral Type Lupas-Bézier Operators
对积分型Lupas-Bézier算子收敛阶的估计
The Applications of Taylor Theorem in Convergence of Generalized Integral
Taylor定理在广义积分收敛性中的应用
New Extension of LSRS Convergence Theorem of Mcshane Integral
Mcshane积分的LSRS收敛定理的新扩展
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
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
Some Sufficient Conditions about the Product of Countable Infinitesimal for Infinitesimal;
可列个无穷小乘积仍为无穷小的若干充分条件