Enviar artigo por via de e-mail Mean Convergence Theorems and Weak Laws of Large Numbers for Arrays of Measurable Operators under Some Conditions of Uniform Integrability
- Autores: Quang N.1, Son D.2, Hu T.1, Huan N.3,4
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Afiliações:
- Department of Mathematics
- Faculty of Fundamental Science
- Institute for Computational Science and Technology (ICST)
- Department of Mathematics and Applications
- Edição: Volume 40, Nº 8 (2019)
- Páginas: 1218-1229
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205421
- DOI: https://doi.org/10.1134/S1995080219080249
- ID: 205421
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Resumo
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.
Sobre autores
Nguyen Quang
Department of Mathematics
Autor responsável pela correspondência
Email: nvquang@hotmail.com
Vietnã, Vinh, Nghe An Province
Do Son
Faculty of Fundamental Science
Autor responsável pela correspondência
Email: dotheson@iuh.edu.vn
Vietnã, Ho Chi Minh City
Tien-Chung Hu
Department of Mathematics
Autor responsável pela correspondência
Email: tchu@math.nthu.edu.tw
República da China, Hsinchu, Taiwan
Nguyen Huan
Institute for Computational Science and Technology (ICST); Department of Mathematics and Applications
Autor responsável pela correspondência
Email: vanhuandhdt@yahoo.com
Vietnã, Ho Chi Minh City; Ho Chi Minh City
