Splines with nonnegative -spline coefficients

Authors:
C. de Boor and James W. Daniel

Journal:
Math. Comp. **28** (1974), 565-568

MSC:
Primary 65D15

DOI:
https://doi.org/10.1090/S0025-5718-1974-0378357-2

MathSciNet review:
0378357

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Abstract: We consider the question of the approximation of nonnegative functions by nonnegative splines of order *k* (degree ) compared with approximation by that subclass of nonnegative splines of order *k* consisting of all those whose *B*-spline coefficients are nonnegative; while approximation by the former gives errors of order , the latter may yield only . These results are related to certain facts about quasi-interpolants.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1974-0378357-2

Keywords:
Nonnegative splines,
one-sided approximation,
splines,
approximation

Article copyright:
© Copyright 1974
American Mathematical Society