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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 ...
Piecewise polynomial interpolation and spline interpolation. Trigonometric interpolation, Fourier series, DFT and FFT. Approximation of Functions The Weierstrass Theorem and Taylor's Theorem The ...
Kendall E. Atkinson, On the Order of Convergence of Natural Cubic Spline Interpolation, SIAM Journal on Numerical Analysis, Vol. 5, No. 1 (Mar., 1968), pp. 89-101 ...
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