| NA列与两两NQD列的L^p收敛性 |
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| 引用本文： | 吴永锋.NA列与两两NQD列的L^p收敛性[J].纯粹数学与应用数学,2009,25(2):377-383. |
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| 作者姓名： | 吴永锋 |
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| 作者单位： | 铜陵学院数学与计算机科学系,安徽,铜陵,244000 |
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| 基金项目： | 安徽高校省级自然科研项目，安徽省高校青年教师资助计划项目 |
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| 摘 要： | 设{Xn，n≥1）是NA列或两两NQD列，{ank；1≤k≤n，n∈N）是实数阵列．利用矩不等式和截尾方法，研究了∑k=1^n ankXk的L^p收敛性，所获结论推广和改进了前人的相应结果．
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| 关 键 词： | NA列 两两NQD列 Lp收敛性 一致可积 |
L~p convergence for NA random sequences and pairwise NQD random sequences |
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| WU Yong-feng.L~p convergence for NA random sequences and pairwise NQD random sequences[J].Pure and Applied Mathematics,2009,25(2):377-383. |
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| Authors: | WU Yong-feng |
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| Institution: | WU Yong-feng (Department of Mathematics , Computer Science,Tongling University,Tongling 244000,China) |
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| Abstract: | Let {Xn,n ≥ 1} be a NA random sequences or a Pairwise NQD random sequences, let {ank; 1 ≤ k ≤ n,n∈ N} be an arrays of real numbers. By the mean＇s moment inequality and truncated method, the author is able to give the L^p convergence of weighted sums ∑k=1^n ankXk, which extend the corresponding results in some previous papers. |
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| Keywords: | NA random sequences pairwise NQD random sequences Lp convergence uniform integrability |
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