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arXiv · 1712.06075

On $L_p$-error of bivariate polynomial interpolation on the square

Yurii Kolomoitsev·Tetiana Lomako·Jürgen Prestin
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Abstract

We obtain estimates of the $L_p$-error of the bivariate polynomial interpolation on the Lissajous-Chebyshev node points for wide classes of functions including non-smooth functions of bounded variation in the sense of Hardy-Krause. The results show that $L_p$-errors of polynomial interpolation on the Lissajous-Chebyshev nodes have almost the same behavior as the polynomial interpolation in the case of the tensor product Chebyshev grid.

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Yurii Kolomoitsev, Tetiana Lomako, Jürgen Prestin. 2017-12-17. On $L_p$-error of bivariate polynomial interpolation on the square. https://arxiv.org/abs/1712.06075

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