A survey on mean convergence of interpolatory processes

  • Szabados J
  • Vértosi P
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Abstract

A detailed account of what happened in the theory of mean convergence of Lagrange and Hermite-Fejér type interpolation in the last fifty-five years is given. Starting from the classical result of Erdo{combining double acute accent}s and Turán, (hopefully) all important developments are considered, in some cases with an indication of the method of proof. Even some yet unpublished results are included. A list of references helps to orientate those interested in the details. © 1992.

Author-supplied keywords

  • Interpolation
  • mean convergence
  • orthogonal polynomials
  • systems of nodes
  • weight functions

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Authors

  • J. Szabados

  • P. Vértosi

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