| 应用函数列的极限理论和累次极限对累次积分换序的处理 |
| |
| 引用本文： | 邢家省,郭秀兰,朱建设.应用函数列的极限理论和累次极限对累次积分换序的处理[J].河南科学,2009,27(1):1-5. |
| |
| 作者姓名： | 邢家省 郭秀兰 朱建设 |
| |
| 作者单位： | 1. 北京航空航天大学数学系,数学、信息与行为教育部重点实验室,北京,100191
2. 河南工业大学理学院,郑州,450001 |
| |
| 基金项目： | 国家自然科学基金，北京市级精品课程建设项目，北京航空航天大学校级精品课程建设项目 |
| |
| 摘 要： | 应用函数列的极限与函数的极限交换次序定理及累次极限的理论，证明了黎曼可积函数列积分的极限定理，给出了累次积分的换序定理和二元连续函数的可积性的一种证明方法．
|
| 关 键 词： | 函数列的极限 极限交换次序定理 函数列积分极限 累次极限 累次积分 |
Applied the Functional Sequence'S Limit Theorem and the Repeated Limit Theorem to the Exchange Order Theorem of Repeated Integral |
| |
| Xing Jiasheng,Guo Xiulan,Zhu Jianshe.Applied the Functional Sequence''S Limit Theorem and the Repeated Limit Theorem to the Exchange Order Theorem of Repeated Integral[J].Henan Science,2009,27(1):1-5. |
| |
| Authors: | Xing Jiasheng Guo Xiulan Zhu Jianshe |
| |
| Institution: | 1. Department of Mathematics;Beihang University;LMIB of the Ministry of Education;Beijing 100191;China;2. College of Science;Henan University of Technology;Zhengzhou 450001;China |
| |
| Abstract: | In this paper,by using the exchange theorem of functional sequence’s limit,functional limit and the repeated limit theorem,we proved the limit theorem of Riemann-integral functional sequence’s integral. At the same time,we gave a method that how to proved the exchange order theorem of repeated integral and the integrability of a continuous function with two variables. |
| |
| Keywords: | the limits of functions the repeated exchange limit theorem the limit of functional sequence’s integral the repeated limit the repeated integral |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
