共查询到20条相似文献,搜索用时 125 毫秒
1.
证明了弱负相关的两个强收敛定理,推广和改进了Bryc和Smolenski(1993)的结果。 相似文献
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本文研究了截断和大数律的收敛速度,证明了截断和(固定)完全收敛性定理以及大数律收敛速度的几个等价条件,从而推广了独立和的结果。 相似文献
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本文讨论了用周期小波对Holder空间进行的特征刻划,给出了Holder空间中的若干小波逼近性质,证明了用周小波逼近Cauchy型奇积分时的一些收敛定理。 相似文献
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托布利兹(T oep lite)定理是数学分析中证明和计算数列极奶的有效工具.将托布利兹(T oep lite)定理推广到函数情形,为证明和计算一类函数的极限提供了一种方法.实例表明利用托布利兹(T oep lite)定理的推广证明和计算某类函数的极限和某些数列的极限,比用传统的数学分析方法更简便. 相似文献
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本文研究Banach空间中具完全正核的非线性Volterra积分方程解强收敛和弱收敛的充分必要条件,这里的定理推广了众多该方向的结果,例如[5,9-10]等. 相似文献
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Banach空间中多值映象的不动点定理 总被引:1,自引:0,他引:1
本文中我们首先证明了一个不动点定理,同时从压缩及弱内向两个方向推广了压缩弱内向映象的不动点定理[1,2].在后两节中讨论了Banach空间中无界闭子集上的不动点定理,所得结果推广了[3,4]中相应定理. 相似文献
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给出了推广的Bernstein-kantorovich多项式的一个饱和性定理,刻划了达到最佳收敛速度的函数类。纠正了Z.Ditzian中定理4.2的错误,并且给出了一般性正定理。 相似文献
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研究了取值于Banach空间的集值逆上鞅的收敛性,给出了集值逆上鞅在集列Wijsman收敛,弱收敛及Kuratowski-Mosco收敛意义下的收敛定理,并给出了它们在连续参数集值鞅中的应用。 相似文献
10.
刘理蔚 《高校应用数学学报(A辑)》1995,(1)
本文在实Banach空间的锥上证明了集值映射的随机逼近定理.作为应用,讨论了几个随机的不动点定理.我们的工作推广了Lin,Sehgal和Singh的结果. 相似文献
11.
Zheng Xiyin 《数学学报(英文版)》1998,14(1):77-84
A series of convex functions on a Banach space is studied. The generalizations of the Moreau-Rockafellar theorem are given.
As its application, the partial generalization of the Kuhn-Tucker theorem is obtained.
This research is supported by the Science Foundation of Yunnan Province 相似文献
12.
References: 《高校应用数学学报(英文版)》2007,22(3):353-365
A local convergence theorem and five semi-local convergence theorems of the secant method are listed in this paper.For every convergence theorem,a convergence ball is respectively introduced,where the hypothesis conditions of the corresponding theorem can be satisfied.Since all of these convergence balls have the same center x~*,they can be viewed as a homocentric ball. Convergence theorems are sorted by the different sizes of various radii of this homocentric ball, and the sorted sequence represents the degree of weakness on the conditions of convergence theorems. 相似文献
13.
Wen Li 《计算数学(英文版)》1998,(4)
1.IntroductionRecently,manymathematicalliteratureshaveprovidedsomenewiterativemeth-odsforsolvingthelinearsystem.Kuang[2]presentedatwo-parameteriterativemethodcalledTORmethod,whichiseffectivetogivethenumericalsolutionofpartialdif-ferentialequations.Wang[,']extendedtheTORmethodtotheGTORmethedandimprovessomeresultsof[3,11,12].In[5],LialsodiscussedtheGTORmethod,andextendedthecorrespondingresultsof[10,11].Recently3SongandDai[9]presentedthemulti-parametersoverrelaxation(MPOR)method,whosespe… 相似文献
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本文研究了多维随机向量序列加权和的渐近行为.利用Lindeberg中心极限定理的基本思想,得到了多维随机向量序列加权和的中心极限定理及其收敛速度,为Lindeberg中心极限定理的推广. 相似文献
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In this paper we obtain a new version of the Orlicz-Pettis theorem by using statistical convergence. To obtain this result we prove a theorem of uniform convergence on matrices related to the statistical convergence. 相似文献
17.
In this article, a class of weak Orlicz function spaces is defined and their basic properties are discused. In particular, for the sequences in weak Orlicz space, we establish several basic convergence theorems including bounded convergence theorem, control convergence theorem and Vitali-type convergence theorem and so on. Moreover, the conditional compactness of its subsets is also discussed. 相似文献
18.
In this article, a class of weak Orlicz function spaces is defined and their basic properties are discused. In particular, for the sequences in weak Orlicz space, we establish several basic convergence theorems including bounded convergence theorem, control convergence theorem and Vitali-type convergence theorem and so on. Moreover, the conditional compactness of its subsets is also discussed. 相似文献
19.
本文利用实变函数方法详细证明了Riemann-Lebesgue定理在开集上成立,并且给出了其应用. 相似文献
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In this paper, the proof of a Trotter-Kato type theorem in a variable Banach space is given and some special cases and examples are considered. 相似文献