摘要
概率论不仅广泛运用于应用学科,而且在基础数学中也有着重要应用.基础数学中一些重要的定理、公式、不等式等都可以用概率论的方法得到证明.文〔1〕利用概率方法证明了一些代数不等式.本文主要利用概率中随机变量矩的一些重要不等式证明了一些重要的积分不等式,具有直观性、可行性和简便性.
Probability theory had been applied to not only applied science, but also in the basic mathematics. The more important theorem, formula and inequality have been proved with probability. In paper [1] proved algebraic inequality. In this paper, the more important integration inequalities with moment of the random variable of probability are proven. It will be intuition and feasibility and simple.
出处
《内蒙古民族大学学报（自然科学版）》
2006年第6期611-612,615,共3页
Journal of Inner Mongolia Minzu University：Natural Sciences
关键词
概率
不等式
随机变量
随机变量矩
可积
均匀分布
Probability
Inequality
Random variable
Moment of the random variable
Integrable
Uniform distribution
