@Article{JMS-57-446,
author = {Chen , MengruPeng , Weicai and Wang , Zhongzhi},
title = {B-Statistical Uniform Integrability and $\mathfrak{L}_p$ Convergence},
journal = {Journal of Mathematical Study},
year = {2024},
volume = {57},
number = {4},
pages = {446--459},
abstract = {<p style="text-align: justify;">In this paper, we first give the concept of B-statistical uniform integrability
with respect to Cesàro matrix (B-CUI), which is weaker than Cesàro uniform integrability. Then we establish some B-statistical convergence theorems for random sequence
under the condition of B-CUI, which generalizes the outcomes of some known results.
Finally, for some special kinds of triangular array or pairwise independent sequences
of random variables, similar results are also derived without conditions of B-CUI.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v57n4.24.03},
url = {http://global-sci.org/intro/article_detail/jms/23711.html}
}