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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Recurrence relations for multivariate $B$-splines
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by Carl de Boor and Klaus Höllig PDF
Proc. Amer. Math. Soc. 85 (1982), 397-400 Request permission

Abstract:

We prove recurrence relations for a general class of multivariate ${\text {B}}$-splines, obtained as ’projections’ of convex polyhedra. Our results are simple consequences of Stokes’ theorem and include, as special cases, the recurrence relations for the standard multivariate simplicial ${\text {B}}$-spline.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 397-400
  • MSC: Primary 41A15
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0656111-8
  • MathSciNet review: 656111