中文摘要：

利用非负实数的初等不等式,给出了在p为不小于2的偶数时,非负条件弱下鞅和条件弱下鞅的条件p阶矩不等式.

英文摘要：

Some conditional p-order moment inequalities with p being even number not less than 2 were given to the nonnegative conditional demi-submartingales and conditional demi-submartingales by using elementary inequalities with nonnegative real numbers.