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