摘要
众所周知,在《数学分析》中会遇到连续函数的一个重要定理,即根的存在定理,此定理对方程根的存在性判别起着重要作用,将这方面已有的定理进行推广,并用例题说明其应用情况.
It is well known that the existence of roots theorem for continuous functions not only is important in Mathematical Analysis,but also has wide applications.In this paper,we generalize the existing theorems in this area to compounded functions.Application of the obtained results is also shown by examples.
作者
陈慧琴
赵香兰
陈富
冯文英
CHEN Huiqin;ZHAO Xianglan;CHEN Fu;FENG Wenying(School of Mathematics and Statistics,Shanxi Datong University,Datong 037009,Shanxi,China;Department of Mathematics,Trent University,Peterborough K9J 0G2,ON,Canada)
出处
《上海师范大学学报（自然科学版）》
2021年第3期337-342,共6页
Journal of Shanghai Normal University(Natural Sciences)
基金
The National Natural Science Foundation of China(11871314,61803241)
Natural Science Foundation of Shanxi Province(201801D121001,201901D111314)
Natural Sciences and Engineering Research Council of Canada
Natural Science Foundation of Datong City(2018146,2019153,2020147)
Scientific Research Project of Shanxi Datong University(2018K4)。
关键词
连续函数
零点
根的存在定理
continuous function
zero point
existence theorem of root
