journal6 ›› 2014, Vol. 35 ›› Issue (6): 1-6.DOI: 10.3969/j.issn.1007-2985.2014.06.001
• 数学 • 下一篇
邢家省，高建全，罗秀华
出版日期:
发布日期:
作者简介:
基金资助:
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）
XING Jia-Sheng, GAO Jian-Quan, LUO Xiu-Hua
Online:
Published:
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.
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
Abstract: 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.
Key words: Lebesgue dominated convergence theorem, strong convergence, almost sure convergence, convergence in measure, weak convergence
邢家省, 高建全, 罗秀华. 空间Lp(Ω)中强收敛和弱收敛的一些判别方法[J]. journal6, 2014, 35(6): 1-6.
XING Jia-Sheng, GAO Jian-Quan, LUO Xiu-Hua. Discriminance of Strong and Weak Convergence in Space Lp(Ω)[J]. journal6, 2014, 35(6): 1-6.
0 / / 推荐
导出引用管理器 EndNote|Ris|BibTeX
链接本文: https://zkxb.jsu.edu.cn/CN/10.3969/j.issn.1007-2985.2014.06.001
https://zkxb.jsu.edu.cn/CN/Y2014/V35/I6/1
