Limits of A-integrals taken under the integration sign

  • S. S. Afanas'eva
Article
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Abstract

The idea of a uniformly A-integrable set of functions is introduced, and the problem of taking the limit under the integration sign is investigated.

Keywords

Integration Sign 
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Literature cited

  1. 1.
    N. Bourbaki, Integration (Measure, Measure Integration) [Russian translation], Moscow (1967).Google Scholar
  2. 2.
    I. P. Natanson, The Theory of Functions of a Real Variable [in Russian], Moscow (1957).Google Scholar
  3. 3.
    Yu. S. Ochan, “Generalized integrals,” Matem. Sb.,28, 322–332 (1951).Google Scholar
  4. 4.
    I. L. Bondi, “A-integrability in the narrow sense,” Matem. Sb.,61, No. 2, 121–146 (1963).Google Scholar

Copyright information

© Consultants Bureau 1971

Authors and Affiliations

  • S. S. Afanas'eva
    • 1
  1. 1.Checheno-Ingushskii Pedagogical InstituteUSSR

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