Some results concerning ideal and classical uniform integrability and mean convergence

2021 ◽  
Author(s):  
Nour Al Hayek ◽  
Manuel Ordóñez Cabrera ◽  
Andrew Rosalsky ◽  
Mehmet Ünver ◽  
Andrei Volodin
Keyword(s):  
Uniform Integrability ◽  
Mean Convergence

A new type of compact uniform integrability with application to degenerate mean convergence of weighted sums of Banach space valued random elements

2020 ◽  
Vol 487 (1) ◽  
pp. 123975
Author(s):  
Manuel Ordóñez Cabrera ◽  
Andrew Rosalsky ◽  
Mehmet Ünver ◽  
Andrei Volodin
Keyword(s):  
Banach Space ◽  
Weighted Sums ◽  
Uniform Integrability ◽  
Mean Convergence ◽  
Random Elements ◽  
New Type ◽  
Degenerate Mean Convergence

Mean Convergence Theorems and Weak Laws of Large Numbers for Arrays of Measurable Operators under Some Conditions of Uniform Integrability

2019 ◽  
Vol 40 (8) ◽  
pp. 1218-1229
Author(s):  
Nguyen Van Quang ◽  
Do The Son ◽  
Tien-Chung Hu ◽  
Nguyen Van Huan
Keyword(s):  
Uniform Integrability ◽  
Convergence Theorems ◽  
Laws Of Large Numbers ◽  
Mean Convergence ◽  
Large Numbers ◽  
Measurable Operators ◽  
Weak Laws

scholarly journals UNIFORM INTEGRABILITY AND MEAN CONVERGENCE FOR THE VECTOR-VALUED MCSHANE INTEGRAL

1997 ◽  
Vol 23 (1) ◽  
pp. 303 ◽  
Author(s):  
Swartz
Keyword(s):  
Uniform Integrability ◽  
Mean Convergence ◽  
Mcshane Integral ◽  
Vector Valued

The Mean Convergence of Orthogonal Series

1950 ◽  
Vol 72 (4) ◽  
pp. 792 ◽  
Author(s):  
G. Milton Wing
Keyword(s):  
Orthogonal Series ◽  
Mean Convergence ◽  
The Mean

On uniform integrability of random variables

2005 ◽  
Vol 74 (3) ◽  
pp. 272-280 ◽  
Author(s):  
Dariusz Majerek ◽  
Wioletta Nowak ◽  
Wiesław Zięba
Keyword(s):  
Random Variables ◽  
Uniform Integrability
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