In this paper we generalize the results of  and modify the algorithm presented there to obtain a better rate of convergence.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Anselone, P. M., Laurent, P. J.: A general method for the construction of interpolating or smoothing spline-functions. Numer. Math.12, 66–82 (1968).
Curry, H. B., Schoenberg, I. J.: On Pólya frequency functions IV: The fundamental spline functions and their limits. J. d'Anal. Math.17, 71–107 (1966).
Hardy, G. H., Littlewood, J. E., Pólya, G.: Inequalities, 2nd ed., 324 p. Cambridge: Cambridge University Press 1952.
Reinsch, C. H.: Smoothing by spline functions. Numer. Math.10, 177–183 (1967)
Schoenberg, I. J.: Spline functions and the problem of graduation. Proc. Nat. Acad. Sci. (U.S.A.)52, 947–950 (1964).
—— On interpolation by spline functions and its minimal properties. On Approximation Theory, p. 109. Proceedings of the Conference held in the Mathematical Research Institute at Oberwolfach, Black Forest, August 4–10, 1963 Basel-Stuttgart: Birkhäuser 1964.
About this article
Cite this article
Reinsch, C.H. Smoothing by spline functions. II. Numer. Math. 16, 451–454 (1971). https://doi.org/10.1007/BF02169154
- Mathematical Method
- Good Rate
- Spline Function