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Limits of $H^k,p$-splines
Author(s):
C. K.
Chui;
P. W.
Smith;
J. D.
Ward
Journal:
Bull. Amer. Math. Soc.
81
(1975),
Part 1:563-565.
MSC (1970):
Primary 41A15;
Secondary 46B10
MathSciNet review:
0433083
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Additional information
References:
- 1.
- C. K. Chui and P. W. Smith, On H, SIAM J. Numer. Anal. 11(1974), 554-558. MR 375733
- 2.
- C. de Boor, On "best" interpolation, J. Appróximatiom Theory (to appear).
- 3.
- J. Favard, Sur l'interpolation, J. Math. Pures Appl. (9) 19 (1940), 281-306. MR 3, 114. MR 5187
- 4.
- S. D. Fisher and J. W. Jerome, Spline solutions to L1-extremal problems in one and several variables, J. Approximation Theory (to appear).
- 5.
- M. Golomb, H, J. Approximation Theory 5 (1972), 238-275. MR 336161
- 6.
- J. W. Jerome and L. L. Schumaker, Characterizations of functions with higher order derivatives in L, Trans. Amer. Math. Soc. 143 (1969), 363-371. MR 41 #8600. MR 264001
- 7.
- O. L. Mangasarian and L. L. Schumaker, Splines via optimal control, Approximations with Special Emphasis on Spline Functions (Proc. Sympos. Univ. of Wisconsin, Madison, Wis., 1969), Academic Press, New York, 1969, pp. 119-156. MR 41 #4073. MR 259435
- 8.
- P. W. Smith, W, Dissertation, Purdue University, June 1972.
- 9.
- P. W. Smith, H (R)- and W (R)-splines, Trans. Amer. Math. Soc. 192 (1974), 275-284. MR 367538
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13738-4
PII:
S 0002-9904(1975)13738-4
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