Abstract
We study the Hermite interpolation problem on the spaces of symmetric bivariate polynomials. We show that the multipoint Berzolari-Radon sets solve the problem. We also give a Newton formula for the interpolation polynomial and use it to prove a continuity property of the interpolation polynomial with respect to the interpolation points.
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Van Manh, P. Hermite interpolation with symmetric polynomials. Numer Algor 76, 709–725 (2017). https://doi.org/10.1007/s11075-017-0278-0
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DOI: https://doi.org/10.1007/s11075-017-0278-0