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Egoroff’s Theorem and Lusin’s Theorem for Capacities in the Framework of g-Expectation
Joint Authors
Zong, Zhaojun
Tian, Xiaoxin
Hu, Feng
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In the classical real analysis theory, Egoroff’s theorem and Lusin’s theorem are two of the most important theorems.
The σ-additivity of measures plays a crucial role in the proofs of these theorems.
Later, many researchers have carried out lots of studies on Egoroff’s theorem and Lusin’s theorem when the measure is monotone and nonadditive (see, e.g., Li and Yasuda (2004) and Li and Mesiar (2011)).
In this paper, we study Egoroff’s theorem and Lusin’s theorem for capacities in the framework of g-expectation.
We give some different assumptions that provide Egoroff’s theorem and Lusin’s theorem in the framework of g-expectation.
American Psychological Association (APA)
Zong, Zhaojun& Hu, Feng& Tian, Xiaoxin. 2020. Egoroff’s Theorem and Lusin’s Theorem for Capacities in the Framework of g-Expectation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1193245
Modern Language Association (MLA)
Zong, Zhaojun…[et al.]. Egoroff’s Theorem and Lusin’s Theorem for Capacities in the Framework of g-Expectation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1193245
American Medical Association (AMA)
Zong, Zhaojun& Hu, Feng& Tian, Xiaoxin. Egoroff’s Theorem and Lusin’s Theorem for Capacities in the Framework of g-Expectation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1193245
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193245