The interval topology is coarser than the openinterval topology.
区间拓扑比开区间拓扑粗；
2
This paper gives a general method of how to solve the maximum and minimum of the continuous derivatived functions in openinterval by a detailed analysis.
Based on the integral inequality and other quality proved, the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in openinterval.