A representation of the interpolation polynomial

Abstract

We provide a decomposition formula for the classical polynomial interpolation operator and obtain the generalized Hermite interpolant through a limiting process. As a consequence of our results, we obtain/reobtain known and new identities related to interpolation theory.

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Correspondence to Mircea Ivan.

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Ivan, M., Neagos, V. A representation of the interpolation polynomial. Numer Algor (2021). https://doi.org/10.1007/s11075-021-01072-2

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Keywords

  • Interpolation

Mathematics subject classification (2010)

  • 41A05