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The generalized extremum in the class of discontinuous functions and finitely additive integration

  • Section II Stochastic Extremal Problems
  • Conference paper
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Stochastic Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 81))

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References

  1. V.D. Batuhtin and L.A. Maiboroda. Optimization of Discontinuous Functions. Nauka, Moscow, 1984 (in Russian).

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  2. V.D. Batuhtin and L.A. Maiboroda. On a formalization for extremal problems. Doklady Akademii Nauk SSSR, 250(1)(1980)11–14.

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  3. G. Neve. Mathematical Foundations of Probability Theory. Mir, Moscow, 1969 (in Russian).

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  4. A.G. Chentsov. On integration on additive functions of sets. In Some Problems in the Optimization of Discontinuous Functions. UNC AN SSSR, Sverdlovsk, 1984, pp. 94–108.

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  5. A.G. Chentsov. Finite Additive Integration of Bounded Functions. UNC AN SSSR, Sverdlovsk, 1984.

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  6. A.G. Chentsov. Integration on Additive Functions of Sets. S.M. Kirov UPI, Sverdlovsk, 1983.

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  7. R.A. Aleksandryan and A.A. Mirzakchanyan. General Topology. Moscow, 1979.

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  8. A.G. Chentsov. On the Relations Between Measurable Spaces. IMM UNC AN SSSR, Sverdlovsk, 1984.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Sverdlovsk, USSR

    V. D. Batuhtin & A. G. Chentsov

Authors
  1. V. D. Batuhtin
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  2. A. G. Chentsov
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Editor information

Vadim I. Arkin A. Shiraev R. Wets

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© 1986 International Institute for Applied Systems Analysis

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Batuhtin, V.D., Chentsov, A.G. (1986). The generalized extremum in the class of discontinuous functions and finitely additive integration. In: Arkin, V.I., Shiraev, A., Wets, R. (eds) Stochastic Optimization. Lecture Notes in Control and Information Sciences, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007106

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  • DOI: https://doi.org/10.1007/BFb0007106

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16659-7

  • Online ISBN: 978-3-540-39841-7

  • eBook Packages: Springer Book Archive

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