The present paper investigates the absolutely convergence for Fourier-Laplace series of the functions belonging to some smoothing functions class given on the unit sphere and defined k-th order difference with step t along a geodesic emanating from μ∈Ω n,averaged ov.
经典 Fourier分析中一个熟知而重要的结果是 Lipα类上的 Fourier级数是绝对收敛的 。
A strict proof of the formulas of the convergence real part,absolutely convergence part and uniform convergence real part for the exponential series has been given.
给出了指数级数收敛实部、绝对收敛实部及一致收敛实部公式的严格证明。
Making use of the result, we can directly distinguish whether alternate series are convergence or not, absolutely convergence or conditioned convergence.
给出了交错级数的一个判别法,应用此判别法可直接判别交错级数是否收敛,以及收敛时是绝对收敛还是条件收敛。
Subseries convergence and absolute convergence in locally convex spaces;
局部凸空间中的子级数收敛与绝对收敛
The concept of absolute convergence is generalized.
拓展了级数绝对收敛的概念。
Using the comparison test,ratio test,or root value test,and their limit forms to judge the convergence and divergence of ∑∞n=1|un|,we can get if the series ∑∞n=1un is absolute convergence.
对于级数∑∞n=1un是否绝对收敛,我们可以用比较判别法、比值或根值判别法及它们的极限形式对∑∞n=1|un|的敛散性来进行判定,文献[1]给出了用导数判别级数绝对收敛的方法,本文对文献[1]的结论做了进一步的推广,给出了利用高阶导数判定级数绝对收敛的方法。
Some valuable properties of the set of the sum of absolute convergent series are obtained.
主要讨论了收敛级数的子级数和集的结构,得到了绝对收敛的子级数和集的一些有价值的性质,并首次给出了它的构造性证明。
that in the definition ofexpectation condition that is absolutely convergent can be changed to the convergence of.
本文证明了在目前的概率教科书中,连续型随机变量的数学期望定义中的条件“积分绝对收敛”可以改为“积分收敛”。
It is proved that p -normed vector space X is complete if and only if absolutely convergent series is convergent,and that in p -Banach spaces,abstract function s bounded variation is equivalent with its p -weakly bounded variation if and only if series s absolutely convergent is equivalent with its p -weakly absolufely convergent.
证明了赋p-范向量空间X完备当且仅当其中的绝对收敛级数必收敛;取值于p-Banach空间X的抽象函数之囿变与p-弱囿变等价当且仅当X中的级数之绝对收敛与p-弱绝对敛等
The absolute convergence of Fuzzy number series;
模糊数级数的绝对收敛性
It is discussed that the relations between the convergence, absolute convergence, weakly unconditional convergence and unconditional convergence and summability of an infinite series ∑∞n=1x_nin a Banach space X.
研究了Banach空间X中的级数∑∞n=1xn的收敛性、绝对收敛性、弱无条件收敛性、无条件收敛性与可和性等概念之间的关系,证明了:当X为一般Banach空间时,无条件收敛性与可和性是等价的;当X为Hilbert空间时,弱无条件收敛性、无条件收敛性及可和性是等价的;当X为数域时,无条件收敛性与绝对收敛性及可和性是等价的。
Essayproved the absolute convergence o f Walch-Fourier series and ∑∞n=0a~γ_n(f)φ~γ_n(x) serie s based on different situations.
文献 [1 ]针对多种情况 ,证明了Walch Fourier级数和级数∑∞n=0aγn( f) φγn(x)的绝对收敛性。
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
Decision Method of sum from k=0 to ∞(A~(k) ) Absolute Convergence;
sum from k=0 to ∞(A~(k) )绝对收敛的判定
In contrast, because of more varied agricultural conditions in the Japanese prefectures, there were no absolute convergence in Japanese farm family and agricultural income.
而日本由于各都道府县之农业条件差异较大,在农家所得及农业所得并无绝对收敛之现象。
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
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
A Generalized Newton Method and Its Convergence for Absolute Value Equation
绝对值方程的广义牛顿算法及其收敛性
Ablation of nozzle convergent section insulation of solid rocket motors with long aft-finocyl grain
大后翼装药固体发动机喷管收敛段绝热层烧蚀
Uniform Convergence, Convergence and Weak Convergence;
一致收敛 点点收敛 弱收敛之关系探讨
relative and absolute returns
相对收益和绝对收益
Finally, the convergence and convergence conditions are verified with simulation results.
最后用仿真结果对收敛性和收敛条件进行了验证。
The Super-convergence Method for Eigenvalue Problem with Discontinuous Coefficients;
对间断系数特征值问题的超收敛解法
Discussion on a Genetic Algorithm of Relatively Fast Convergence;
一种相对快速收敛的遗传算法的探讨
On the Convergence of Approximation for the Rational Function to |x|;
关于对│x│有理插值逼近的收敛性
The Study of Convergence of Nonlinear Mapping about BP Network;
对BP网络非线性映射收敛性的探讨
The Effect of Fiscal Expenditure on Hunan's Regional Economic Convergence
财政支出对湖南经济收敛的效应研究
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
Convergence Rates in the Law of Iterated Logarithm of ρ~*-mixing Sequences
ρ~*-混合序列重对数律的收敛速度
Convergence of the Gauss-Newton Method;
Gauss-Newton法的收敛性