Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Approximation order from bivariate $ C\sp{1}$-cubics: a counterexample


Authors: C. de Boor and K. Höllig
Journal: Proc. Amer. Math. Soc. 87 (1983), 649-655
MSC: Primary 41A15; Secondary 41A25, 41A63
MathSciNet review: 687634
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that the space of bivariate $ {C^1}$ piecewise cubic functions on a hexagonal mesh of size $ h$ approximates to certain smooth functions only to within $ O({h^3})$ even though it contains a local partition of every cubic polynomial.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 41A15, 41A25, 41A63

Retrieve articles in all journals with MSC: 41A15, 41A25, 41A63


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0687634-4
Keywords: $ {\text{B}}$-splines, multivariate, spline functions, degree of approximation, pp, smooth
Article copyright: © Copyright 1983 American Mathematical Society