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

  • O. V. Polyakov
  • N. O. Polyakova

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.


Continuous Function Arbitrary Function Approximation Theory Extremal Problem Mathematical Journal 
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    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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