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Optimization of approximate integration of monotone functions of two variables

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Abstract

We solve the problem of optimization of approximate integration of functions of two variables defined on a rectangle and monotonic in each variable by using the quadrature formulas with nodes at points of a rectangle net.

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References

  1. S. M. Nikol'skii,Quadrature Formulas [in Russian], Nauka, Moscow (1979).

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  3. A. Papageorgiou, “Integration of monotone functions of several variables,”J. Complexity,9, 252–268 (1993).

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Authors
  1. V. F. Babenko
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  2. S. V. Borodachev
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Additional information

Dnepropetrovsk University, Dnepropetrovsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 7, pp. 881–889, July, 1999

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Babenko, V.F., Borodachev, S.V. Optimization of approximate integration of monotone functions of two variables. Ukr Math J 51, 986–995 (1999). https://doi.org/10.1007/BF02592035

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  • DOI: https://doi.org/10.1007/BF02592035

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