Abstract
In this chapter, we study the approximation by cardinal spline series. We look at just two possibilities. In the first part, we consider approximation as the degree tends to infinity. In the second part, we keep the degree (i.e., the direction matrix used) fixed, but allow the mesh width to go to zero, and this includes a discussion of box spline wavelets.
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© 1993 Springer Science+Business Media New York
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de Boor, C., Höllig, K., Riemenschneider, S. (1993). Approximation by cardinal splines & wavelets. In: Box Splines. Applied Mathematical Sciences, vol 98. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2244-4_5
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DOI: https://doi.org/10.1007/978-1-4757-2244-4_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2834-4
Online ISBN: 978-1-4757-2244-4
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