摘要
考虑勒贝格控制收敛定理的应用和强收敛的充分必要条件问题,运用由勒贝格控制收敛定理导出的近代新结果,对一些古典结果的证明方法给予了新的简化处理,给出了强收敛的充分必要条件判别定理.
The application of Lebesgue dominated convergence theorem and the necessary and sufficient condition of strong convergence are discussed in this paper.New simplified proof methods of some classic results are obtained by means of recent results derived by Lebesgue dominated convergence theorem and the discriminant theorem of the necessary and sufficient condition of strong convergence is demonstrated.
出处
《吉首大学学报（自然科学版）》
CAS
2014年第6期1-6,共6页
Journal of Jishou University(Natural Sciences Edition)
基金
国家自然科学基金资助项目(11201020)
北京航空航天大学校级重大教改项目(201401)
关键词
勒贝格控制收敛定理
强收敛
几乎处处收敛
依测度收敛
弱收敛
Lebesgue dominated convergence theorem
strong convergence
almost sure convergence
con-vergence in measure
weak convergence
