A dominated convergence theorem in the K-H integral (Q1417177)

In this note, a version of the dominated convergence theorem for the Kurzweil-Henstock (K-H) integral in \(\mathbb{R}\) is presented. In this version, the primitives of K-H integrable functions are dominated by major and minor functions. It is proved in this note that if \(f\) is K-H integrable, then there exists a sequence of Lebesgue integrable functions which is dominatedly convergent to \(f\).