PDF) Convergence in mean of weighted sums of {ank}-compactly uniformly integrable random elements in Banach spaces
335 A NOTION OF UNIFORM INTEGRABILITY* The necessary and sufficient condition that a function f(x) of the real variable x be int
Mean convergence theorems for weighted sums of random variables under a condition of weighted integrability – topic of research paper in Mathematics. Download scholarly article PDF and read for free on CyberLeninka
sequences and series - Why is ${|f_n-f|^p}$ uniformly integrable and tight iff {$|f_n|^p$} is uniformly integrable and tight ($f_n \rightarrow f$ pointwise)? - Mathematics Stack Exchange