McAllister, David F.; Passow, Eli; Roulier, John A. Algorithms for computing shape preserving spline interpolations to data. (English) Zbl 0371.65001 Math. Comput. 31, 717-725 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 31 Documents MSC: 65D05 Numerical interpolation 41A05 Interpolation in approximation theory 41A15 Spline approximation 65D15 Algorithms for approximation of functions PDFBibTeX XMLCite \textit{D. F. McAllister} et al., Math. Comput. 31, 717--725 (1977; Zbl 0371.65001) Full Text: DOI References: [1] Robert E. Barnhill and Richard F. Riesenfeld , Computer aided geometric design, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Inc.], New York-London, 1974. · Zbl 0316.68006 [2] Wayne T. Ford and John A. Roulier, On interpolation and approximation by polynomials with monotone derivatives, J. Approximation Theory 10 (1974), 123 – 130. · Zbl 0286.41006 [3] A. R. Forrest, Interactive interpolation and approximation by Bézier polynomials, Comput. J. 15 (1972), 71 – 79. · Zbl 0727.65010 · doi:10.1016/0010-4485(90)90038-E [4] William J. Gordon and Richard F. Riesenfeld, Bernstein-Bézier methods for the computer-aided design of free-form curves and surfaces, J. Assoc. Comput. Mach. 21 (1974), 293 – 310. · Zbl 0276.68041 · doi:10.1145/321812.321824 [5] William J. Kammerer, Polynomial approximations to finitely oscillating functions, Math. Comp. 15 (1961), 115 – 119. · Zbl 0141.06603 [6] G. G. Lorentz, Bernstein polynomials, Mathematical Expositions, no. 8, University of Toronto Press, Toronto, 1953. · Zbl 0051.05001 [7] Eli Passow, Piecewise monotone spline interpolation, J. Approximation Theory 12 (1974), 240 – 241. · Zbl 0291.41003 [8] Eli Passow, An improved estimate of the degree of monotone interpolation, J. Approximation Theory 17 (1976), no. 2, 115 – 118. · Zbl 0334.41001 [9] Eli Passow, Monotone quadratic spline interpolation, J. Approximation Theory 19 (1977), no. 2, 143 – 147. · Zbl 0361.41005 [10] Eli Passow and Louis Raymon, The degree of piecewise monotone interpolation, Proc. Amer. Math. Soc. 48 (1975), 409 – 412. · Zbl 0299.41010 [11] Eli Passow and John A. Roulier, Monotone and convex spline interpolation, SIAM J. Numer. Anal. 14 (1977), no. 5, 904 – 909. · Zbl 0378.41002 · doi:10.1137/0714060 [12] Steven Pruess, Properties of splines in tension, J. Approximation Theory 17 (1976), no. 1, 86 – 96. · Zbl 0327.41009 [13] Zalman Rubinstein, On polynomial \?-type functions and approximation by monotonic polynomials, J. Approximation Theory 3 (1970), 1 – 6. · Zbl 0194.36801 [14] H. Späth, Exponential spline interpolation, Computing (Arch. Elektron. Rechnen) 4 (1969), 225 – 233 (English, with German summary). · Zbl 0184.19803 [15] W. Wolibner, Sur un polynôme d’interpolation, Colloquium Math. 2 (1951), 136 – 137 (French). · Zbl 0043.01904 [16] Sam W. Young, Piecewise monotone polynomial interpolation, Bull. Amer. Math. Soc. 73 (1967), 642 – 643. · Zbl 0187.02003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.