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Lebesgue constant for Lagrange interpolation on equidistant nodes

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Analysis in Theory and Applications

Abstract

Properties of Lebesgue function for Lagrange interpolation on equidistant nodes are investigated. It is proved that Lebesgue function can be formulated both in terms of a hypergeometric function,2F1 and Jacobi polynomials. Moreover, an integral expression of Lebesgue function is also obtained and the asymptotic behavior of Lebesgue constant is studied.

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Authors and Affiliations

  1. Dip. Elettronical Informatica e Sistemistica, Universitá degli Studi della Calabria, 87036, Rende (Cs), Italy

    A. Eisinberg, G. Fedele & G. Franzè

Authors
  1. A. Eisinberg
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  2. G. Fedele
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  3. G. Franzè
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Eisinberg, A., Fedele, G. & Franzè, G. Lebesgue constant for Lagrange interpolation on equidistant nodes. Anal. Theory Appl. 20, 323–331 (2004). https://doi.org/10.1007/BF02835225

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  • DOI: https://doi.org/10.1007/BF02835225

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