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

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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 sets of such points are studied. Using such sets, a sufficient condition of Q-integrability of the sum of two Q-integrable functions is obtained.

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Author information

Authors and Affiliations

  1. Faculty of Mechanics and Mathematics in 2013, Postgraduate from Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    M. P. Efimova

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  1. M. P. Efimova
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Correspondence to M. P. Efimova.

Additional information

Original Russian Text © M. P. Efimova. 2015. published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2015, Vol. 70, No. 4, pp. 46-49.

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Efimova, M.P. The sufficient condition for integrability of a generalized Q-integral and points of integrability. Moscow Univ. Math. Bull. 70, 181–184 (2015). https://doi.org/10.3103/S0027132215040051

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  • DOI: https://doi.org/10.3103/S0027132215040051

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