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A representation of the interpolation polynomial

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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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Authors and Affiliations

  1. Department of Mathematics, Technical University of Cluj Napoca, Str. Memorandumului nr. 28, 400114, Cluj-Napoca, Romania

    Mircea Ivan & Vicuta Neagos

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  1. Mircea Ivan
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  2. Vicuta Neagos
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Correspondence to Mircea Ivan.

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Ivan, M., Neagos, V. A representation of the interpolation polynomial. Numer Algor 88, 1215–1231 (2021). https://doi.org/10.1007/s11075-021-01072-2

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  • DOI: https://doi.org/10.1007/s11075-021-01072-2

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