Davydov, O. and Schumaker, L.L. (2002) *On stable local bases for bivariate polynomial spline spaces.* Constructive Approximation, 18 (1). pp. 87-116. ISSN 0176-4276

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Official URL: http://dx.doi.org/10.1007/s00365-001-0006-8

## Abstract

Stable locally supported bases are constructed for the spaces \cal S d r (\triangle) of polynomial splines of degree d≥ 3r+2 and smoothness r defined on triangulations \triangle , as well as for various superspline subspaces. In addition, we show that for r≥ 1 , in general, it is impossible to construct bases which are simultaneously stable and locally linearly independent.

Item type: | Article |
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ID code: | 4542 |

Keywords: | approximation, mathematics, probabilities, polynomials, Probabilities. Mathematical statistics, Mathematics, Computational Mathematics, Analysis, Mathematics(all) |

Subjects: | Science > Mathematics > Probabilities. Mathematical statistics Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

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Depositing user: | Strathprints Administrator |

Date Deposited: | 01 Nov 2007 |

Last modified: | 05 Sep 2014 02:33 |

URI: | http://strathprints.strath.ac.uk/id/eprint/4542 |

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