| 二阶模糊随机过程均方Henstock-Stieltjes积分的收敛定理 |
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| 引用本文： | 任爱红.二阶模糊随机过程均方Henstock-Stieltjes积分的收敛定理[J].甘肃科学学报,2010,22(4):36-39. |
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| 作者姓名： | 任爱红 |
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| 作者单位： | 宝鸡文理学院数学系,陕西宝鸡721013 |
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| 基金项目： | 陕西省教育厅科研计划项目，宝鸡文理学院科研计划项目 |
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| 摘 要： | 讨论了二阶模糊随机过程均方Henstock-Stieltjes积分的基本性质,研究了二阶模糊随机过程均方Henstock-Stieltjes积分序列的2类收敛定理.所得结论对模糊随机过程积分和微分方程的理论研究将起到很重要的作用.
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| 关 键 词： | 二阶模糊随机过程 均方Henstock-Stieltjes积分 收敛定理 |
Convergence Theorems of Mean-Square Henstock-Stieltjes Integrals for Second-Order Fuzzy Stochastic Processes |
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| REN Ai-hong.Convergence Theorems of Mean-Square Henstock-Stieltjes Integrals for Second-Order Fuzzy Stochastic Processes[J].Journal of Gansu Sciences,2010,22(4):36-39. |
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| Authors: | REN Ai-hong |
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| Institution: | REN Ai-hong (Department of Mathematics ,Baoji University of Arts and Sciences ,Baoji 721013 ,China) |
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| Abstract: | The basic property of the mean-square Henstock-Stieltjes integrals is obtained,and two convergence theorems of Henstock-Stieltjes are discussed. These results play important roles in further studying integrability and differentiability of fuzzy stochastic processes. |
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| Keywords: | second-order fuzzy stochastic process mean-square Henstock-Stieltjes integral convergence theorem |
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