SIAM Journal on Numerical Analysis, Vol. 17, No. 2 (Apr., 1980), pp. 238-246 (9 pages) Necessary and sufficient conditions are derived for a cubic to be monotone on an interval. These conditions are ...

Algorithms based on Newton's interpolation formula are given for: simple polynomial interpolation, polynomial interpolation with derivatives supplied at some of the data points, interpolation with ...

Piecewise polynomial interpolation and spline interpolation. Trigonometric interpolation, Fourier series, DFT and FFT. Approximation of Functions The Weierstrass Theorem and Taylor's Theorem The ...