基本初等复合函数列依测度收敛形式不变性的研究  

Invariance of the Form of the Composite Functions of Basic Elementary Functions and Function Sequences Converging in Measure

作　　者：陆元圣 吴万楼 LU Yuansheng;WU Wanlou(School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221000,China)

机构地区：[1]江苏师范大学数学与统计学院,江苏省徐州市221000

出　　处：《高等数学研究》2024年第5期90-92,共3页Studies in College Mathematics

基　　金：国家自然科学基金(12001245);江苏省自然科学基金(BK20201025).

摘　　要：研究基本初等函数与依测度收敛函数列的复合,通过构造不同的集合,给出在依测度收敛意义下,函数列的基本初等复合收敛于极限函数的同一基本初等复合的条件.To study the composite functions of basic elementary functions and function sequences converging in measure,by constructing different sets,we give the conditions under which the composite function of basic elementary functions and function sequences converging in measure converges to the composite function of the same basic elementary functions and the limit functions of those function sequences.

关 键 词：测度 基本初等复合 依测度收敛 

分 类 号：O174.1[理学—数学]