Monotonicity preservation on triangles
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- by Michael S. Floater and J. M. Peña PDF
- Math. Comp. 69 (2000), 1505-1519 Request permission
Abstract:
It is well known that Bernstein polynomials on triangles preserve monotonicity. In this paper we define and study three kinds of monotonicity preservation of systems of bivariate functions on a triangle. We characterize and compare several of these systems and derive some geometric applications.References
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Additional Information
- Michael S. Floater
- Affiliation: SINTEF Applied Mathematics, P.O. Box 124 Blindern, 0314 Oslo, NORWAY
- Email: mif@math.sintef.no
- J. M. Peña
- Affiliation: Departamento de Matemática Aplicada, Universidad de Zaragoza, Edificio de Mate- máticas, Planta 1a, 50009 Zaragoza, SPAIN
- Email: jmpena@posta.unizar.es
- Received by editor(s): May 27, 1997
- Received by editor(s) in revised form: December 7, 1998
- Published electronically: May 20, 1999
- Additional Notes: The authors were supported in part by the EU project CHRX-CT94-0522.
- © Copyright 2000 American Mathematical Society
- Journal: Math. Comp. 69 (2000), 1505-1519
- MSC (1991): Primary 41A10, 65D17; Secondary 41A63
- DOI: https://doi.org/10.1090/S0025-5718-99-01176-X
- MathSciNet review: 1677482