绝对连续函数与二元全连续函数的性质及判定  

Properties and Determination of Absolute Continuous Function and Binary Completely Continuous Function

作　　者：全玉锦 殷洪才 殷玥 QUAN Yu-jin;YIN Hong-cai;YIN Yue(Teachers School,Liaodong University,Dandong 118003,China;College of Mathematics and Statistics,Guangdong University of Foreign Studies,Guangzhou 510000,China;Guangdong Institute of Computational Science and Applied Technology,Guangzhou 510000,China)

机构地区：[1]辽东学院师范学院,辽宁丹东118003 [2]广东外语外贸大学数学与统计学院,广东广州510000 [3]广东省计算科学应用技术研究所,广东广州510000

出　　处：《辽东学院学报（自然科学版）》2023年第2期149-152,共4页Journal of Eastern Liaoning University:Natural Science Edition

摘　　要：给出绝对连续函数的2个等价定义,并讨论其性质及判定定理。在此基础上,给出二元全连续函数的定义,并对二元全连续函数的性质进行讨论,最后得到二元全连续函数的判定定理。Two equivalent definitions of absolute continuous function are given,and their properties and judgment theorems are discussed.On this basis,the definition of binary fully continuous function is given,and the properties of binary fully continuous function are discussed.Finally,the judgment theorem of binary fully continuous function is obtained.

关 键 词：绝对连续函数 二元全连续函数 有限区间 

分 类 号：O174.11[理学—数学]