The multiplicity of a spline zero
نویسنده
چکیده
The multiplicity of a zero of a (univariate, polynomial) spline is defined in terms of its B-spline coefficients, thus making certain bounds trivial while, at the same time, adhering to the principle that the multiplicity of a zero indicates the number of simple zeros nearby achievable by a nearby element from the same class. In particular, the multiplicity depends on the class to which the function is assumed to belong. The resulting multiplicity turns out to coincide with that given recently in more traditional terms by T. N. T. Goodman. Subject classification: AMS(MOS) 41A15
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