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Polynômes Orthogonaux et Applications pp 221–229Cite as

Even entire functions absolutely monotone in [0,∞) and weights on the whole real line

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1171))

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References

  1. R.P. Boas, "Entire Functions", Academic Press, New York, 1954.

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  2. T. Carleman, Sur un theoreme de Weierstrass, Arkiv för Matematik, Astronomi och Fysik, 20B (1927), pp. 1–5.

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  3. P. Erdös, On the Distribution of the Roots of Orthogonal Polynomials, (in) Proceedings of the Conference on the Constructive Theory of Functions (G. Alexits, et al., eds.), pp. 145–150, Akademiai Kiado, Budapest, 1972.

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  4. G. Freud, "Orthogonal Polynomials", Pergamon Press, Budapest, 1971.

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  5. G. Freud, On the Theory of One Sided Weighted Polynomial Approximation, (in) Approximation Theory and Functional Analysis (P.L. Butzer, et al., eds.), pp. 285–303, Birkhauser, Basel, 1974.

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  6. A. Knopfmacher and D.S. Lubinsky, Mean Convergence of Lagrange Interpolation for Freud's Weights with Application to Product Integration Rules, submitted.

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  7. D.S. Lubinsky, Gaussian Quadrature, Weights on the Whole Real Line and Even Entire Functions with Non-negative Even Order Derivatives, to appear in J. of Approximation Theory.

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  8. P. Nevai, Lagrange Interpolation at Zeros of Orthogonal Polynomials, (in) Approximation Theory II (G.G. Lorentz, et al., eds.) pp. 163–203, Academic Press, New York, 1976.

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Authors and Affiliations

  1. National Research Institute for Mathematical Sciences, CSIR, P O Box 395, 0001, Pretoria, South Africa

    D. S. Lubinsky

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  1. D. S. Lubinsky
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Claude Brezinski André Draux Alphonse P. Magnus Pascal Maroni André Ronveaux

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© 1985 Springer-Verlag

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Lubinsky, D.S. (1985). Even entire functions absolutely monotone in [0,∞) and weights on the whole real line. In: Brezinski, C., Draux, A., Magnus, A.P., Maroni, P., Ronveaux, A. (eds) Polynômes Orthogonaux et Applications. Lecture Notes in Mathematics, vol 1171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076547

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  • DOI: https://doi.org/10.1007/BFb0076547

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16059-5

  • Online ISBN: 978-3-540-39743-4

  • eBook Packages: Springer Book Archive

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