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Bulletin of the American Mathematical Society

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A remark concerning perfect splines


Author: Carl de Boor
Journal: Bull. Amer. Math. Soc. 80 (1974), 724-727
MSC (1970): Primary 41A15; Secondary 46B10
MathSciNet review: 0338618
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  • 1. R. B. Barrar and H. L. Loeb, Spline functions with free knots as the limit of varisolvent families, J. Approximation Theory 12 (1974), 70–77. MR 0412677
  • 2. H. B. Curry and I. J. Schoenberg, On spline distributions and their limits: The Pólya distribution functions, Bull. Amer. Math. Soc. 53 (1947), 1114.
  • 3. J. Favard, Sur l’interpolation, J. Math. Pures Appl. (9) 19 (1940), 281–306 (French). MR 0005187
  • 4. G. Glaeser, Prolongement extrémal de fonctions différentiables d’une variable, J. Approximation Theory 8 (1973), 249–261 (French). Collection of articles dedicated to Isaac Jacob Schoenberg on his 70th birthday, III. MR 0348068
  • 5. Samuel Karlin, Total positivity. Vol. I, Stanford University Press, Stanford, Calif, 1968. MR 0230102
  • 6. Samuel Karlin, Some variational problems on certain Sobolev spaces and perfect splines, Bull. Amer. Math. Soc. 79 (1973), 124–128. MR 0308769, 10.1090/S0002-9904-1973-13126-X
  • 7. M. G. Kreĭn, "The L-problem in an abstract linear normed space," Article IV in Some questions in the theory of moments, by N. I. Ahiezer and M. G. Kreĭn, GONTI, Har'kov, 1938; English transl., Transl. Math. Monographs, vol. 2, Amer. Math. Soc. Providence, R.I., 1962. MR 29 #5073.

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DOI: https://doi.org/10.1090/S0002-9904-1974-13572-X