| 无穷区间上向量值函数(H)积分的收敛定理 |
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| 引用本文： | 孔芳弟,孔绪红.无穷区间上向量值函数(H)积分的收敛定理[J].西北师范大学学报,2007,43(1):18-20. |
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| 作者姓名： | 孔芳弟 孔绪红 |
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| 作者单位： | 兰州理工大学应用数学系 甘肃兰州730050(孔芳弟)，兰州商学院信息工程学院 甘肃兰州730020(孔绪红) |
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| 基金项目： | 兰州理工大学校科研和教改项目 |
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| 摘 要： | 通过对无穷区间上向量值(H)可积函数列积分运算与极限运算可交换条件的讨论,引进了等度(H)可积、一致(H)可积的概念;给出了无穷区间上向量值(H)可积函数列逐项可积的条件.
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| 关 键 词： | 无穷区间 向量值函数 (H)积分 收敛定理 一致(H)可积 等度(H)可积 |
| 文章编号： | 1001-988X（2007）01-0018-03 |
| 修稿时间： | 2006-05-30 |
The convergence theorem for (H) integral of vector valued function on infinite interval |
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| KONG Fang-di,KONG Xu-hong.The convergence theorem for (H) integral of vector valued function on infinite interval[J].Journal of Northwest Normal University Natural Science (Bimonthly),2007,43(1):18-20. |
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| Authors: | KONG Fang-di KONG Xu-hong |
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| Institution: | 1. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, Gansu, China; 2. School of Information Engineering, Lanzhou Commercial College, Lanzhou 730020, Gansu, China |
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| Abstract: | The convergence theorems for(H) integrable sequence of vector valued function on infinite interval are discussed.The concept of weak uniformly(H) integrable,uniformly(H) integrable and equi-integrable are defined.The sufficient condition for term by term integrability of(H) integrable sequence of vector valued function on infinite interval is given. |
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| Keywords: | infinite interval vector valued function (H) integral convergence theorem uniformly(H) integrable equi-integrable |
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