指数有界C余弦算子函数的概率型表示

The probabilistic approximations for exponentially bounded C-Cosine functions

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。

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.