×

Erratum to: How small can one make the derivatives of an interpolating function? (English) Zbl 0297.41008


MSC:

41A15 Spline approximation
41A05 Interpolation in approximation theory
65D05 Numerical interpolation
65L99 Numerical methods for ordinary differential equations
Full Text: DOI

References:

[1] de Boor, C., On uniform approximation by splines, J. Approximation Theory, 1, 219-235 (1968) · Zbl 0193.02502
[2] de Boor, C., On the convergence of odd-degree spline interpolation, J. Approximation Theory, 1, 452-463 (1968) · Zbl 0174.09902
[3] de Boor, C., On calculating with \(B\)-splines, J. Approximation Theory, 6, 50-62 (1972) · Zbl 0239.41006
[4] de Boor, C.; Fix, G., Spline approximation by quasiinterpolants, J. Approximation Theory, 8, 19-45 (1973) · Zbl 0279.41008
[5] Curry, H. B.; Schoenberg, I. J., On Polya frequency functions IV: The fundamental spline functions and their limits, J. Analyse Math., 17, 71-107 (1966) · Zbl 0146.08404
[6] Karlin, S., (Total positivity, Vol. I (1968), Stanford University Press: Stanford University Press Stanford, CA) · Zbl 0219.47030
[7] Marsden, M. J., An identity for spline functions etc., J. Approximation Theory, 3, 7-49 (1970) · Zbl 0192.42103
[8] Marsden, M. J., Cubic spline interpolation of continuous functions, J. Approximation Theory, 10, 103-111 (1974) · Zbl 0281.41002
[9] Marsden, M. J., Quadratic spline interpolation, Bull. Amer. Math. Soc., 80, 903-906 (1974) · Zbl 0295.41005
[10] Marsden, M. J.; Schoenberg, I. J., On variation diminishing spline approximation methods, Mathematica (Cluj), 31, 61-82 (1966) · Zbl 0171.31001
[11] Nord, Stig, Approximation properties of the spline fit, BIT, 7, 132-144 (1967) · Zbl 0171.37304
[12] Schoenberg, I. J.; Whitney, A., On Polya frequency functions III, Trans. Amer. Math. Soc., 74, 246-259 (1953) · Zbl 0051.33606
[13] Sharma, A.; Meir, A., Degree of approximation of spline interpolation, J. Math. Mech., 15, 759-767 (1966) · Zbl 0158.30702
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.