Approximation order from bivariate 𝐶¹-cubics: a counterexample
- 1 April 1983
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 87 (4) , 649-655
- https://doi.org/10.1090/s0002-9939-1983-0687634-4
Abstract
It is shown that the space of bivariate
piecewise cubic functions on a hexagonal mesh of size
approximates to certain smooth functions only to within
even though it contains a local partition of every cubic polynomial.
Keywords
This publication has 3 references indexed in Scilit:
- Approximation by Smooth Multivariate SplinesTransactions of the American Mathematical Society, 1983
- B-Splines From Parallelepipeds.Published by Defense Technical Information Center (DTIC) ,1982
- Approximation by linear combinations of multivariate B-splinesJournal of Approximation Theory, 1981