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Walter Gautschi, Volume 1 pp 49–56Cite as

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Interpolation and approximation

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Abstract

In the papers collected here, Walter Gautschi makes vital contributions to the theory of interpolation and approximation. He considers attenuation factors in practical Fourier analysis, Padé approximants associated with Hamburger series, the convergence behavior of continued fractions with real elements, moment-preserving spline approximations, and the convergence of extended Lagrange interpolation. Further, he uses numerical computations to examine the validity of mathematical conjectures regarding zeros of Jacobi polynomials and weighted Newton–Cotes quadrature formulae.

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Acknowledgements.

I would like to express my thanks to Martin Gutknecht, Sotirios Notaris, and the editors, for their help in writing this commentary.

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Authors and Affiliations

  1. Department of Mathematics, University of Beograd, Belgrade, SERBIA

    Miodrag M. Spalević

Authors
  1. Miodrag M. Spalević
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Editors and Affiliations

  1. Villeneuve d’Ascq, France

    Claude Brezinski

  2. Department of Computer Science, Purdue University, West Lafayette, Indiana, USA

    Ahmed Sameh

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Spalević, M.M. (2014). Interpolation and approximation. In: Brezinski, C., Sameh, A. (eds) Walter Gautschi, Volume 1. Contemporary Mathematicians. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-7034-2_7

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