Piecewise Convex–Concave Approximation in the Minimax Norm

Author:

Cullinan Michael P.

Publisher

Springer International Publishing

Reference11 articles.

1. Cullinan, M.P.: Data smoothing by adjustment of divided differences. Ph.D. dissertation, Department of Applied Mathematics and Theoretical Physics, University of Cambridge (1986)

2. Cullinan, M.P.: Data smoothing using non-negative divided differences and ℓ 2 approximation. IMA J. Numer. Anal. 10, 583–608 (1990)

3. Cullinan, M.P., Powell, M.J.D.: Data smoothing by divided differences. In: Watson, G.A. (ed.) Numerical Analysis Proceedings, Dundee 1981. Lecture Notes in Mathematics, vol. 912, pp. 26–37. Springer, Berlin (1982)

4. Demetriou, I.C.: Signs of divided differences yield least squares data fitting with constrained monotonicity or convexity. J. Comput. Appl. Math. 146(2), 179–211 (2002)

5. Demetriou, I.C. Powell, M.J.D.: Least squares fitting to univariate data subject to restrictions on the signs of the second differences. In: Iserles, A. Buhmann, M.D. (eds.) Approximation Theory and Optimization. Tributes to M. J. D. Powell, pp. 109–132. Cambridge University Press, Cambridge (1997)

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