中文摘要：

运用实数理论中的初等不等式,得到了非负条件弱下鞅的矩不等式.所得结论推广了已有文献中的相关结果.

英文摘要：

Some moment inequalities for non-negative conditional demisubmartingales were obtained by using elementary inequalities in the theory of real numbers and generalized the corresponding results in recent papers.