时标上区间值函数的若干积分不等式

Some Integral Inequalities for Interval-Valued Functions on Time Scales

引入了时标上区间值函数黎曼◇α-积分的概念,讨论了该积分的基本性质.利用区间分析及时标积分理论,得到了区间值函数黎曼◇α-积分形式的Jensen不等式、Holder不等式和Minkowski不等式,推广了现有文献的相关结果.

In this paper,we introduce the concept of the Riemann ◇α-integral for intervalvalued functions on time scales and discuss the basic properties of this integral.By using the interval analysis and the integral theory on time scales,we obtain Jensen’s,Holder’s and Minkowski’s inequalities of the Riemann ◇α-integral for interval-valued functions,which generalize the results of existing literatures.