Abstract
Consider an Hermite–Birkhoff spline $s(t)$. Briefly, such splines may be described as splines $s(t)$ where the various derivatives are also splines with (possibly) different knot sets. If $s(t)$ has compact support, then its knot sets can be described by an incidence matrix E. This work is concerned with the study of the number of sign changes of splines with compact support and with the study of the minimal support of such splines. Positive bounds for the number of sign changes and for the support are obtained in terms of the incidence matrix E.
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