MAXIMAL INEQUALITIES FOR NORMED DOUBLE SUMS OF RANDOM ELEMENTS IN MARTINGALE TYPE p BANACH SPACES WITH APPLICATIONS TO DEGENERATE MEAN CONVERGENCE OF THE MAXIMUM OF NORMED SUMS

被引：1
|
作者：
Rosalsky, Andrew [1 ]
Thanh, Le Van [2 ]
机构：
[1] Univ Florida, Immokalee, FL USA
[2] Vinh Univ, Vinh, Vietnam
来源：
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2024年
关键词：
Maximal inequality; Array of Banach space valued random elements; Martingale type p Banach space; Mean convergence of order q; Double sums; LARGE NUMBERS; WEIGHTED SUMS; DOUBLE ARRAYS; LAW; THEOREM; VALUES; SURE;
D O I：
10.3934/naco.2024010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this correspondence, we prove new maximal inequalities for normed double sums of random elements taking values in a real separable martingale type p Banach space. The result is then applied to establish mean convergence theorems for the maximum of normed and suitably centered double sums of Banach space-valued random elements.
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页数：11
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