Extremal positive splines with applications to interpolation and approximation by generalized convex functions
Author:
Hermann G. Burchard
Journal:
Bull. Amer. Math. Soc. 79 (1973), 959-963
MSC (1970):
Primary 34A40, 41A15, 41A30, 41A50, 52A40, 65D10; Secondary 26A24, 26A48, 26A51, 41A05, 65D05
DOI:
https://doi.org/10.1090/S0002-9904-1973-13278-1
MathSciNet review:
0338620
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References | Similar Articles | Additional Information
- 1. H. G. Burchard, Interpolation and approximation by generalized convex functions, Thesis, Purdue University, Lafayette, Ind., 1968.
- 2. H. G. Burchard, Extremal positive splines, with applications, in Proc. Sympos. Approximation Theory (Austin, Texas, 1973), G. G. Lorentz(editor), Academic Press, New York (to appear). MR 338619
- 3. L. de Branges, The Stone-Weierstrass theorem, Proc. Amer. Math. Soc. 10 (1959), 822-824. MR 22 #3970. MR 113131
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- 5. S. Karlin, Total positivity. Vol. I, Stanford Univ. Press, Stanford, Calif., 1968. MR 37 #5667. MR 230102
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- 9. Z. Ziegler, Generalized convexity cones, Pacific J. Math. 17 (1966), 561-580. MR 34 2804. MR 202945
- 10. Z. Ziegler, On the characterization of measures of the cone dual to a generalized convexity cone, Pacific J. Math. 24 (1968), 603-626. MR 37 # 1539. MR 225949
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DOI:
https://doi.org/10.1090/S0002-9904-1973-13278-1