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Best cubature formulas for some classes of continuous functions of two variables

  • O. V. Polyakov
  • N. O. Polyakova
Article
  • 21 Downloads

The exact value of the error of a cubature formula is determined for some classes of continuous functions of two variables defined by strictly monotone moduli of continuity.

Keywords

Continuous Function Arbitrary Function Approximation Theory Extremal Problem Mathematical Journal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    S. M. Nikol’skii, Quadrature Formulas [in Russian], Nauka, Moscow (1979).Google Scholar
  2. 2.
    N. P. Korneichuk, Extremal Problems in Approximation Theory [in Russian], Nauka, Moscow (1976).Google Scholar
  3. 3.
    M. Sh. Shabozov, “Estimates for the error of quadrature formulas for some classes of functions,” Ukr. Mat. Zh., 43, No. 12, 1598–1601 (1991).zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • O. V. Polyakov
    • 1
  • N. O. Polyakova
    • 1
  1. 1.Dnepropetrovsk National UniversityDnepropetrovskUkraine

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