| 指数有界C余弦算子函数的概率型表示 |
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| 引用本文： | 赵月英,宋晓秋.指数有界C余弦算子函数的概率型表示[J].山东大学学报(理学版),2010,45(4):77-81. |
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| 作者姓名： | 赵月英 宋晓秋 |
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| 作者单位： | 中国矿业大学理学院,江苏,徐州,221116 |
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| 摘 要： | 利用指数有界C余弦算子函数{C(t);t∈R}的性质,推出了指数有界C余弦算子函数的Taylor展开式,然后借助Pettis积分、Holder不等式及随机变量的矩生成函数等工具,得到了指数有界C余弦算子函数的概率逼近公式及Vonorovskaya型渐近公式。
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| 关 键 词： | 指数有界C余弦算子函数 Taylor展开式 概率型逼近 Vonorovskaya型渐近公式 |
| 收稿时间： | 2009-07-06 |
The probabilistic approximations for exponentially bounded C-Cosine functions |
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| ZHAO Yue-ying,SONG Xiao-qiu.The probabilistic approximations for exponentially bounded C-Cosine functions[J].Journal of Shandong University,2010,45(4):77-81. |
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| Authors: | ZHAO Yue-ying SONG Xiao-qiu |
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| Institution: | College of Sciences, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China |
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| Abstract: | Based on properties of exponentially bounded C-Cosine functions, the Taylor expansion formula for exponentially bounded C-Cosine functions is obtained. By means of Pettis integral, Holder inequality and moment-generating functions of some suitable random variables, the probabilistic approximations and Vonorovskaya type asymptotic formula for C-Cosine functions are given. |
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| Keywords: | exponentially bounded C-Cosine functions Taylor expansion formula probabilistic approximations Vonorovskaya type asymptotic formula |
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