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Some variational problems on certain Sobolev spaces and perfect splines
Author:
Samuel Karlin
Journal:
Bull. Amer. Math. Soc. 79 (1973), 124-128
MSC (1970):
Primary 46E35
MathSciNet review:
0308769
Full-text PDF
References |
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Additional Information
- 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.
- 3.
I.
J. Schoenberg, The perfect 𝐵-splines and a time-optimal
control problem, Israel J. Math. 10 (1971),
261–274. MR 0320594
(47 #9130)
- 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.
- 5.
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
(41 #703)
- 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.
- 3.
- I. J. Schoenberg, The perfect B-splines and a time optimal control problem, Israel J. Math. 8 (1971), 261-275. MR 320594
- 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.
- 5.
- V. M. Tihomirov, Best methods of approximation and interpolation of differentiable functions in the space C[-1, 1], Mat. Sb. 80 (122) (1969), 290-304 = Math. USSR Sb. 9 (1969), 275-289. MR 41 #703. MR 256043
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1973-13126-X
PII:
S 0002-9904(1973)13126-X
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