Schwabik, Štefan; Vrkoč, Ivo On Kurzweil-Henstock equiintegrable sequences. (English) Zbl 0863.26009 Math. Bohem. 121, No. 2, 189-207 (1996). Summary: The concept of equiintegrability of a sequence of Kurzweil-Henstock integrable functions is a tool for deriving a relatively strong type of convergence theorem for the Kurzweil-Henstock integral. In terms of convergences of some integrals conditions for equiintegrability of a sequence of Kurzweil-Henstock integrable functions are given. The results show in some sense how far equiintegrability is from being a necessary and sufficient condition for convergence of integrals for pointwise convergent sequences of integrable functions. Cited in 2 Documents MSC: 26A39 Denjoy and Perron integrals, other special integrals Keywords:equiintegrable sequence; Kurzweil-Henstock integral PDFBibTeX XMLCite \textit{Š. Schwabik} and \textit{I. Vrkoč}, Math. Bohem. 121, No. 2, 189--207 (1996; Zbl 0863.26009) Full Text: EuDML