摘要
在分析学中 ,讨论函数列的极限函数、函数项级数的和函数以及含参积分这三类函数的分析性质必定要遇到和处理的是分析运算的换序问题 .但其实质皆为累次极限的存在且相等问题 .我们从累次极限换序定理出发来综合讨论分析运算换序定理 ,以便对这类问题有较为深刻的认识 .
For disscussing analytical properties of functions expressed in limits of a sequence of functions,sum of function series, a nd integration of function with a parameter,we must treat the order exchange pro blems of analytical operations.Essentially,they are all related to repeated limi ts .In this paper,starting from order exchange theorem of repeated limits,we synthe tically discuss the above problems in order to understand them deeply.
出处
《辽宁师范大学学报（自然科学版）》
CAS
2000年第2期212-216,共5页
Journal of Liaoning Normal University:Natural Science Edition
基金
国家教育部科研项目!(JS15 0 B)
关键词
累次极限
一致收敛
连续性
数学分析
运算
换序
repeated limit
uniform convergence
continu ity
differentiability
integrability
