摘要
证明了期望为零的有界实随机变量(不要求对称)是次Gauss变量,并由此讨论了次Gauss三角多项式的一个界估计及次Gauss三角级数在Lp空间的收敛性及一个应用,得到了次Gauss三角级数几乎必然表示一个几乎有界函数的简单充分条件.
In this paper,it was proved that independent and bounded random variable whose expectations are zero(not demanding symmetric) are subgaussian random variable,and an estimate of boundary of the subgaussian trigonometric polynomial was investigated.Some concise sufficient conditions which subgaussian trigonometric series denoted almost surely bounded function were also obtained.
出处
《海南大学学报(自然科学版)》
CAS
2010年第3期212-217,共6页
Natural Science Journal of Hainan University
基金
海南省教育厅高等学校科学研究性资助项目(hjkj200908)
海南省自然科学基金资助项目(807025)