Henstock's condition for convergence theorems and equi-integrability (Q1803973)

Some convergence theorems for the Kurzweil-Henstock integral for point- interval functions have been recently introduced by Henstock. On the other hand, Kurzweil and the author have unified the classical convergence theorems for this integral in terms of the concept of equi- integrability. Because equi-integrability may not be easy to check in practice, the author proposes a further convergence theorem which is more general than the Henstock's condition. The reader should be aware that the references in the text to the number of the theorems of the paper are not correct. For example Theorem 4 should be read Theorem 3 and Theorem 8 should be read Theorem 4. Similar remarks apply to the corollaries, and the reader will find himself the correct assignment.