Displaying similar documents to “Narrow spaces, products of topological spaces and supertiny sequences of A. Szymański”

On Kurzweil-Henstock equiintegrable sequences

Štefan Schwabik, Ivo Vrkoč (1996)

Mathematica Bohemica

Similarity:

For the Kurzweil-Henstock integral the equiintegrability of a pointwise convergent sequence of integrable functions implies the integrability of the limit function and the relation m abfm(s)s = abm fm(s)s. Conditions for the equiintegrability of a sequence of functions pointwise convergent to an integrable function are presented. These conditions are given in terms of convergence of some sequences of integrals.