Abstract
We obtain estimates of the Lp-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 Lp-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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