| 强连续C-半群的概率型估计 |
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| 引用本文： | 张祥芝,宋晓秋,胡敏,陈正云.强连续C-半群的概率型估计[J].中国矿业大学学报,2004,33(5):604-606. |
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| 作者姓名： | 张祥芝 宋晓秋 胡敏 陈正云 |
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| 作者单位： | 中国矿业大学,理学院,江苏,徐州,221008 |
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| 摘 要： | 讨论了指数有界的C-半群的逼近问题，应用适当的随机变量的矩生成函数估计式，建立了Banach空间上C-半群概率表示的渐近公式，推广了C0半群的一些结果，如：Hille指数公式及Post-Widder反演公式等．
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| 关 键 词： | C-半群 概率表示 估计 随机变量 矩 |
| 文章编号： | 1000-1964(2004)05-0604-03 |
| 修稿时间： | 2003年10月10 |
Probabilistic Estimators for Strongly Continuous C-Semigroups |
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| ZHANG Xiang-zhi,SONG Xiao-qiu,HU Min,CHENG Zheng-yun.Probabilistic Estimators for Strongly Continuous C-Semigroups[J].Journal of China University of Mining & Technology,2004,33(5):604-606. |
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| Authors: | ZHANG Xiang-zhi SONG Xiao-qiu HU Min CHENG Zheng-yun |
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| Abstract: | Approximation problems for exponentially bounded C-semigroups were discussed. Using estimations of moment-generating functions of some suitable random variables, the asymptotic formulas of probabilistic representations for C-semigroups on Banach space were established. The some results for C0 semigroups, such as Hille's exponential formula and Post-Widder's inversion formula, were generalized. |
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| Keywords: | C-semigroups moment inequality random variable probabilistic representation |
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