Summary
In this paper we generalize the results of [4] and modify the algorithm presented there to obtain a better rate of convergence.
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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.
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Reinsch, C.H. Smoothing by spline functions. II. Numer. Math. 16, 451–454 (1971). https://doi.org/10.1007/BF02169154
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DOI: https://doi.org/10.1007/BF02169154