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1)  Cesaro-uniformly integra
Cesaro一致可积
1.
Then,discussed the weighted sums of pairwise NQD random sequences,and studied its L~2-convergence properties and the condition of Cesro-uniformly integra,(H_1) or (H_2).
利用两两NQD列的Kolmogorov不等式,讨论了两两NQD阵列的加权和在Ces?ro一致可积、(H1)或(H2)条件下的L2-收敛性,改进并推广了鞅差阵列加权和的相应结果。
2)  Cesaro uniform integrability
Cesaro一致可积性
3)  uniformly integrable
一致可积
1.
The nonstandard characterization of uniformly integrable functions;
一致可积函数的非标准刻画
4)  uniform integrability
一致可积
1.
For weighted sums of the form k nj=1a nj d jX,where{a nj ,1≤j≤k n↑∞} is a real constants array and {d nX,n≥1} is martingale difference series,we establish the relationship between the convergence and the p\|smoothable Banach space under the condition of {a nj }\|uniform integrability,andwe get the strong law of large numbers for weighted sums of martigale difference series.
对形如 knj=1anjdj X的加权和 ,其中 { dn X ,n≥ 1}为 B值鞅差序列 ,{ anj}为实值常数阵列 ,在{‖ dj X‖ p关于 { | anj| p }一致可积的条件下建立鞅差序列加权和的收敛性与 Banach空间 p光滑性的关系 ,并给出p光滑 Banach空间中鞅差序列加权和的强大数定
2.
On this basis the necessary and sufficient conditions to the uniform integrability of sequences of fuzzy valued functions were given,and the implication relations between uniform integrability of sequences of fuzzy valued functions and the uniformly boundedness of the their fuzzy valued integrals were studied.
通过引入新乘法算子,针对模糊值函数定义了-模糊值积分,在此基础上给出了模糊值函数序列一致可积的充要条件,并研究了模糊值函数序列一致可积与其模糊值积分一致有界的蕴涵关系。
5)  uniformly(H) integrable
一致(H)可积
6)  uniform (R) integrability
一致(R)可积
补充资料:Cesaro曲线


Cesaro曲线
Cesaro curve

  C韶的曲线乞(加amc”n心;砚3ap。即抓a,] 一条平面曲线,它在任一点M的曲率半径R与M关于某一圆的极线在该点法线上所截割的线段成比例.众s址。曲线的自然方程(na:ural equation、是 韶 “(R/b)阴一1其中b是常数,爪为一实数.ECes么ro曾研究过r rl飞、_【译注】空间的Ces汾。曲线([Bl])是一条挠曲线C,使得若一直线固定于C的F获们et活动标架内,则当此直线随活动标架沿C移动时,生成一可展曲面.
  
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