Mathematical Notes

, Volume 60, Issue 6, pp 629–637 | Cite as

On the relationship between the Kolmogorov and Henstock integrals

  • D. F. Goguadze
Article
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Abstract

The Henstock integrals are proved to be narrower than the Kolmogorov integral.

Key words

Kolmogorov integral Henstock integral multifunctions 

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References

  1. 1.
    R. Henstock,Theory of Integration, Butterworth, London (1963).Google Scholar
  2. 2.
    A. Kolmogoroff, “Untersuchungen über den Integralbegriff,”Math. Ann.,103, 654–696 (1930).CrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    V. Glivenko,The Stieltjes Integral [in Russian], ONTI, Moscow-Leningrad (1936).Google Scholar
  4. 4.
    J. L. Kelley,General Topology D. Van Nostrand Company Inc., Princeton (1957).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • D. F. Goguadze
    • 1
  1. 1.N. I. Muskhelishvili Institute of Computational MathematicsGeorgian Academy of SciencesUSSR

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