Mean Convergence Theorems and Weak Laws of Large Numbers for Arrays of Measurable Operators under Some Conditions of Uniform Integrability
- Авторы: Quang N.1, Son D.2, Hu T.1, Huan N.3,4
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Учреждения:
- Department of Mathematics
- Faculty of Fundamental Science
- Institute for Computational Science and Technology (ICST)
- Department of Mathematics and Applications
- Выпуск: Том 40, № 8 (2019)
- Страницы: 1218-1229
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205421
- DOI: https://doi.org/10.1134/S1995080219080249
- ID: 205421
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Аннотация
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.
Об авторах
Nguyen Quang
Department of Mathematics
Автор, ответственный за переписку.
Email: nvquang@hotmail.com
Вьетнам, Vinh, Nghe An Province
Do Son
Faculty of Fundamental Science
Автор, ответственный за переписку.
Email: dotheson@iuh.edu.vn
Вьетнам, Ho Chi Minh City
Tien-Chung Hu
Department of Mathematics
Автор, ответственный за переписку.
Email: tchu@math.nthu.edu.tw
Тайвань, Hsinchu, Taiwan
Nguyen Huan
Institute for Computational Science and Technology (ICST); Department of Mathematics and Applications
Автор, ответственный за переписку.
Email: vanhuandhdt@yahoo.com
Вьетнам, Ho Chi Minh City; Ho Chi Minh City