Ukrainian Mathematical Journal

, Volume 47, Issue 9, pp 1479–1485 | Cite as

An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity

  • M. Sh. Shabozov


For classes of functions given on the segment [0,1], we obtain optimal quadrature formulas for singular integrals with fixed singularity. The obtained results are extended to the case of two-dimensional integrals.


Quadrature Formula Singular Integral Fixed Singularity Optimal Quadrature Formula 
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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • M. Sh. Shabozov
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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