Abstract
Simple necessary and sufficient conditions that a quartic polynomial $f(z)$ be nonnegative for $z > 0$ or $a \leq z \leq b$ are derived, and illustrated geometrically. The geometry provides considerable insight and suggests various approximations and computational simplifications. The theory is applied to monotone quintic spline interpolation, giving necessary and sufficient conditions and an algorithm for monotone Hermite quintic interpolation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have