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Section B

Numerical evaluation of integrals of analytic functions

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Pages 2747-2751 | Received 01 Sep 2007, Accepted 02 Jan 2009, Published online: 17 Jun 2010

References

  • Acharya , B. P. and Mohapatra , T. 1992 . An approximation of integrals of analytic functions, Facta Universitatis (NIS) . Ser. Math. Inform. , 7 : 117 – 121 .
  • Acharya , B. P. and Pattnaik , T. 1985 . A modification of Birkhoff–Young rule for numerical quadrature of analytic functions . J. Ori. Math. Soc. , 3 ( 1 ) : 1 – 5 .
  • Birkhoff , G. and Young , D. 1950 . Numerical quadrature of analytic and harmonic functions . J. Math. Phys. , 29 : 217 – 221 .
  • Gautschi , W. and Varga , R. S. 1983 . Error bounds for Gaussian quadrature of analytic functions . SIAM J. Numer. Anal. , 20 : 1170 – 1186 .
  • Gotz , M. 2001 . Optimal quadrature for analytic functions . J.Comp. Appl. Math. , 137 : 133 – 143 .
  • Lether , F. 1976 . On Birkhoff–Young quadrature of analytic functions . J. Comp. Appl. Math. , 2 : 81 – 84 .
  • Tosic , D. D. 1978 . A modification of Birkhoff–Young quadrature formula for analytic functions . Univ. Beograd. Publ. Electro. Fak. Ser. Math. Fiz. , 602–633 : 73 – 77 .

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