Mean Convergence Theorems and Weak Laws of Large Numbers for Arrays of Measurable Operators under Some Conditions of Uniform Integrability
- 作者: Quang N.1, Son D.2, Hu T.1, Huan N.3,4
-
隶属关系:
- Department of Mathematics
- Faculty of Fundamental Science
- Institute for Computational Science and Technology (ICST)
- Department of Mathematics and Applications
- 期: 卷 40, 编号 8 (2019)
- 页面: 1218-1229
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205421
- DOI: https://doi.org/10.1134/S1995080219080249
- ID: 205421
如何引用文章
详细
In this paper, we introduce the notions of uniform integrability in the Cesàro sense, h-integrability with respect to the array of constants {ani}, and h-integrability with exponent r for an array of measurable operators. Then, we establish some mean convergence theorems and weak laws of large numbers for arrays of measurable operators under some conditions related to these notions.
作者简介
Nguyen Quang
Department of Mathematics
编辑信件的主要联系方式.
Email: nvquang@hotmail.com
越南, Vinh, Nghe An Province
Do Son
Faculty of Fundamental Science
编辑信件的主要联系方式.
Email: dotheson@iuh.edu.vn
越南, Ho Chi Minh City
Tien-Chung Hu
Department of Mathematics
编辑信件的主要联系方式.
Email: tchu@math.nthu.edu.tw
台湾, Hsinchu, Taiwan
Nguyen Huan
Institute for Computational Science and Technology (ICST); Department of Mathematics and Applications
编辑信件的主要联系方式.
Email: vanhuandhdt@yahoo.com
越南, Ho Chi Minh City; Ho Chi Minh City
![](/img/style/loading.gif)