Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Andersson, J-E., Optimal quadrature of H p functions, Math. Z.172, 1980, pp. 55–62.
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.
Dyn, N., C.A. Micchelli and T.J. Rivlin, Blaschke products and optimal recovery in H ∝, to appear in CALCOLO.
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.
Gautschi, W., and R.S. Varga, Error bounds for Gaussian quadrature of analytic functions, SIAM J. Numer. Anal.20, 1983, pp. 1170–1186.
Kowalski, M.A., A.G. Werschulz and H. Woźniakowski, Is Gauss quadrature optimal for analytic functions?, Numer. Math.47, 1985, pp. 89–98.
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.
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.
Rivlin, T.J., “The Chebyshev Polynomials”, Wiley, N.Y., 1974.
Seidel, W., and O. Szász, On positive harmonic functions and ultraspherical polynomials, J. London Math. Soc.26, 1951, pp. 36–41.
Szegö, G., “Orthogonal Polynomials”, American Math. Soc., Providence, R.I., 1975.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0083358
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19489-7
Online ISBN: 978-3-540-39295-8
eBook Packages: Springer Book Archive