M. P. Efimova, “The sufficient condition for integrability of a generalized <nobr>$Q$</nobr>-integral and points of integrability”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, Number 4,Pages <nobr>46

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The sufficient condition for integrability of a generalized $Q$-integral and points of integrability

M. P. Efimova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Functions integrable in the sense of generalized $Q$-integral are considered in the paper. The notion of points of integrability is introduced, some properties of such points are studied. Using such sets, a sufficient condition of $Q$-integrability of the sum of two $Q$-integrable functions is obtained.

Key words: Lebesgue integral, generalized $Q$-integral, points of integrability.

UDC: 517.518.126

Received: 14.05.2014