| B值适应可积序列加权和的强收敛性 |
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| 引用本文： | 万成高,万英.B值适应可积序列加权和的强收敛性[J].湖北大学学报(自然科学版),2013(3):370-374. |
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| 作者姓名： | 万成高 万英 |
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| 作者单位： | 湖北大学数学与计算机科学学院,湖北武汉,430062 |
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| 摘 要： | 设{Xn,Fn,n≥1}是B值适应可积序列（或B值鞅差序列）,{an,n≥1}和{bn,n≥1}是两个正常数列,本文中研究了形如1/bn∑ni=1ai（Xi-E（Xi｜Fi-1））或（1/bn∑ni=1aiXi）加权和的强收敛性,得到了一些适当条件下加权和的强收敛性的结果.
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| 关 键 词： | B值适应可积序列 B值鞅差序列 加权和 强收敛性 |
Strong convergence of weighted sums with Banach space valued integrable adapter sequences |
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| WAN Chenggao
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WAN Ying.Strong convergence of weighted sums with Banach space valued integrable adapter sequences[J].Journal of Hubei University(Natural Science Edition),2013(3):370-374. |
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| Authors: | WAN Chenggao WAN Ying |
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| Institution: | (School of Mathematics and Computer Science,Hubei University,Wuhan 430062,China) |
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| Abstract: | We mainly studied the strong convergence of weighted sums of the form 1/bn∑n i=1ai（Xi-E（Xi｜Fi-1））（or1/bn∑n i=1aiXi）,where {Xn,Fn,n≥1} was an arbitrary Banach space valued integrable adapter sequence（or Banach space valued martingale difference） and {an,n≥1} and {bn,n≥1} were two sequences of positive constants.Some new strong convergence for such weighted sums were proved under mild conditions. |
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| Keywords: | Banach space valued integrable adapter sequences Banach space valued martingale diffrences weighted sums strong convergence |
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