关于非负随机变量的两个矩不等式

摘要

利用一个初等函数的单调性及一个改进的Young不等式,通过引进一个参数的方法,得到了关于非负随机变量的两个矩不等式,所得结果推广了一些经典的矩不等式.作为应用,给出了著名的H(o)lder不等式和Minkowski不等式的一种新的反向形式.%By using monotonicity of a elementary function and the improved Young inequality and introducing a parameter, we obtained two inequalities of nonnegative random variables.Those inequalities were the further generalization of some classical moment inequalities. As an application of the obtained results, we gave a new the reverse form of Hlder inequality and Minkowski inequality.