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 ...

Cubic spline interpolation schemes which require no derivative information at the end points are of great practical importance and have been included in several general purpose software libraries.

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