%0 Journal Article
%A XING Jiasheng
%A WU Sang
%A YANG Yichuan
%T Method of Proving Definite Bound Function on Variable Interval as Continuous Function
%D 2020
%R 10.13438/j.cnki.jdzk.2020.05.001
%J Journal of Jishou University(Natural Sciences Edition)
%P 1-4
%V 41
%N 5
%X We study the continuity of the definite bound function of continuous function on the variable interval. With correspondence between the variable interval and the unit interval, the definite bound function on the change interval is expressed as the definite bound function on the unit interval. With the subtraction inequality of upper bounds of two functions and the uniform continuity of the function, it is proved that the definite bound function is uniformly continuous.
%U https://zkxb.jsu.edu.cn/EN/10.13438/j.cnki.jdzk.2020.05.001