On the double Lusin condition and convergence theorem for Kurzweil-Henstock type integrals

Equiintegrability in a compact interval $E$ may be defined as a uniform integrability property that involves both the integrand $f_n$ and the corresponding primitive $F_n$. The pointwise convergence of the integrands $f_n$ to some $f$ and the equiintegrability of the functions $f_n$ together imply t...

Full description

Bibliographic Details
Main Authors: Abraham Racca, Emmanuel Cabral
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2016-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/141/2/mb141_2_4.pdf