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On general Hermite trigonometric interpolation

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Summary

A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae.

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Literature

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Authors and Affiliations

  1. Lehrstühle für Numerische und Angewandte Mathematik, Bürgerstr. 32, D-3400, Göttingen, Federal Republic of Germany

    Rainer Kreß

Authors
  1. Rainer Kreß
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Additional information

This work was done at the Max-Planck-Institut für Physik und Astrophysik, München.

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Kreß, R. On general Hermite trigonometric interpolation. Numer. Math. 20, 125–138 (1972). https://doi.org/10.1007/BF01404402

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  • DOI: https://doi.org/10.1007/BF01404402

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