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Hermite interpolation with symmetric polynomials

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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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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy street, Cau Giay, Hanoi, Vietnam

    Phung Van Manh

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  1. Phung Van Manh
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Correspondence to Phung Van Manh.

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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

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