Geodesic
On Kurzweil-Henstock equiintegrable sequences
Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 189-207.

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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 \lim_{m \to\infty}\int_a^bf_m(s)\dd s = \int_a^b\lim_{m \to\infty}f_m(s)\dd 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.
DOI : 10.21136/MB.1996.126102
Classification : 26A39
Keywords: equiintegrable sequence; Kurzweil-Henstock integral 
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Schwabik, Štefan; Vrkoč, Ivo. On Kurzweil-Henstock equiintegrable sequences. Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 189-207. doi : 10.21136/MB.1996.126102. http://geodesic.mathdoc.fr/articles/10.21136/MB.1996.126102/

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