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Optimal quadrature formulas with derivatives for Cauchy type singular integrals

Author

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  • Akhmedov, D.M.
  • Hayotov, A.R.
  • Shadimetov, Kh.M.

Abstract

In the present paper in L2(m)(0,1) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results are presented.

Suggested Citation

  • Akhmedov, D.M. & Hayotov, A.R. & Shadimetov, Kh.M., 2018. "Optimal quadrature formulas with derivatives for Cauchy type singular integrals," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 150-159.
    • Handle: RePEc:eee:apmaco:v:317:y:2018:i:c:p:150-159
    DOI: 10.1016/j.amc.2017.09.009
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    1. Shadimetov, Kh.M. & Hayotov, A.R. & Akhmedov, D.M., 2015. "Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 302-314.
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