Ukrainian Mathematical Journal

, Volume 38, Issue 5, pp 549–551 | Cite as

Optimal formula for the numerical integration of a curvilinear integral of the first kind for certain classes of functions and curves

  • S. B. Vakarchuk
Brief Communications


Optimal Formula 
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Literature cited

  1. 1.
    V. I. Krylov, Approximate Calculation of Integrals [in Russian], Nauka, Moscow (1967).Google Scholar
  2. 2.
    S. M. Nikol'skii, Quadrature Formulas [in Russian], Nauka, Moscow (1979).Google Scholar
  3. 3.
    N. S. Bakhvalov, Numerical Methods [in Russian], Nauka, Moscow (1975).Google Scholar
  4. 4.
    S. P. Finikov, Course of Differential Geometry [in Russian], Gostekhizdat, Moscow (1952)Google Scholar
  5. 5.
    S. B. Vakarchuk, “An approximate representation of a curvilinear integral of the first kind,” in: Theory of Functions and Topology [in Russian], Institute of Mathematics, Academy of Sciences of the Ukr. SSR, Kiev (1983), pp. 17–20.Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • S. B. Vakarchuk
    • 1
  1. 1.Dnepropetrovsk Institute of Geotechnical MechanicsAcademy of Sciences of the Ukrainian SSRUkraine

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