Hermite interpolation with symmetric polynomials
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.
KeywordsPolynomial interpolation Hermite interpolation Multipoint berzolari-radon set
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