Some variational problems on certain Sobolev spaces and perfect splines
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- by Samuel Karlin PDF
- Bull. Amer. Math. Soc. 79 (1973), 124-128
References
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1. G. Glaeser, Prolongement extrema de functions differentiables d’une variable, J. Approximation (to appear).
2. R. Louboutin, "Sur une bonne partition de l’unite," in Le Prolongateur de Whitney. Vol. II, edited by Glaeser, University of Rennes, 1967.
- I. J. Schoenberg, The perfect $B$-splines and a time-optimal control problem, Israel J. Math. 10 (1971), 261–274. MR 320594, DOI 10.1007/BF02771643 4. I. S. Schoenberg and A. Cavaretta, Solution of Landau’s problem concerning higher derivatives on the half line, Report #1050, Math. Research Center, University of Wisconsin, Madison, Wis., 1970.
- V. M. Tihomirov, Best methods of approximation and interpolation of differentiable functions in the space $C[-1,\,1].$, Mat. Sb. (N.S.) 80 (122) (1969), 290–304 (Russian). MR 0256043
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 124-128
- MSC (1970): Primary 46E35
- DOI: https://doi.org/10.1090/S0002-9904-1973-13126-X
- MathSciNet review: 0308769