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Gauss quadrature for analytic functions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1329)

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References

  1. Andersson, J-E., Optimal quadrature of H p functions, Math. Z.172, 1980, pp. 55–62.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Bakhvalov, N.S., On the optimal speed of integrating analytic functions, (English translation), U.S.S.R. Comput. Math. Math. Phys.7, 1967, pp. 63–75.

    CrossRef  MATH  Google Scholar 

  3. Dyn, N., C.A. Micchelli and T.J. Rivlin, Blaschke products and optimal recovery in H , to appear in CALCOLO.

    Google Scholar 

  4. Gautschi, W., A survey of Gauss-Christoffel quadrature formulae, “E.B. Christoffel” (Eds. P.L. Butzer and F. Feher), Birkhauser Verlag, Basel, 1981, pp. 72–147.

    CrossRef  Google Scholar 

  5. Gautschi, W., and R.S. Varga, Error bounds for Gaussian quadrature of analytic functions, SIAM J. Numer. Anal.20, 1983, pp. 1170–1186.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Kowalski, M.A., A.G. Werschulz and H. Woźniakowski, Is Gauss quadrature optimal for analytic functions?, Numer. Math.47, 1985, pp. 89–98.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Micchelli, C.A., and T.J. Rivlin, A survey of optimal recovery, Optimal Estimation in Approximation Theory, (Eds. C.A. Micchelli and T.J. Rivlin), Plenum Press, N.Y., 1977, pp. 1–54.

    CrossRef  Google Scholar 

  8. Newman, D.J., Quadrature in H p, Lectures III, IV, “Approximation with Rational Functions”, CBMS Regional Conference Series in Math., No. 41, American Mathematical Society, Providence, R.I., 1979.

    CrossRef  Google Scholar 

  9. Rivlin, T.J., “The Chebyshev Polynomials”, Wiley, N.Y., 1974.

    MATH  Google Scholar 

  10. Seidel, W., and O. Szász, On positive harmonic functions and ultraspherical polynomials, J. London Math. Soc.26, 1951, pp. 36–41.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Szegö, G., “Orthogonal Polynomials”, American Math. Soc., Providence, R.I., 1975.

    MATH  Google Scholar 

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© 1988 Springer-Verlag

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Rivlin, T.J. (1988). Gauss quadrature for analytic functions. In: Alfaro, M., Dehesa, J.S., Marcellan, F.J., Rubio de Francia, J.L., Vinuesa, J. (eds) Orthogonal Polynomials and their Applications. Lecture Notes in Mathematics, vol 1329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083358

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  • DOI: https://doi.org/10.1007/BFb0083358

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