Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (1): 9-27.

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ON QUADRATURE FORMULAE FOR SINGULAR |INTEGRALS OF ARBITRARY ORDER

 DU Jin-Yuan   

  • Online:2004-07-13 Published:2004-07-13
  • Supported by:

    Supported by NNSF and RFDP of Higher Education of China.

Abstract:

t Some quadrature formulae for the numerical evaluation of singular integrals
of arbitrary order are established and both the estimate of remainder and the convergence
of each quadrature formula derived here are also given.

Key words: Peano derivative;generalized Hermite interpolation, singular integral of arbitrary order, singular quadrature formula

CLC Number: 

  • 41A55
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