中文摘要：

本文首先证明了伪积分的Barnes—Godunova-Levin型不等式以及实值函数区间值测度伪积分的Barnes—Godunova-Levin型不等式．随后证明了两种不同区间值测度伪积分的Lyapunov型不等式．其中一种是基于区间值函数的伪积分，另一种是基于实值函数的伪积分．

英文摘要：

In this paper, firstly we focus on Barnes-Godunova-Levin type inequali- ties for pseudo-integral and Barnes-Godunova-Levin type inequality for interval-valued measure via pseudo-integral of real valued function. Then Lyapunov type inequality for pseudo-integrals with respect to two interval-valued measure is proved. One is defined by the pseudo-integral of interval -valued function, the other one obtained through pseudo-integrals of real-valued functions