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.
Originalsprache | Englisch |
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Zeitschrift | Journal of Approximation Theory |
Jahrgang | 229 |
Seiten (von - bis) | 13-35 |
Seitenumfang | 23 |
ISSN | 0021-9045 |
DOIs | |
Publikationsstatus | Veröffentlicht - 01.05.2018 |