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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

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 [Enhancements On Off] (What's this?)

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  • 5. S. Karlin, Total positivity. Vol. I, Stanford Univ. Press, Stanford, Calif., 1968. MR 37 #5667. MR 230102
  • 6. S. Karlin and L. Schumaker, The fundamental theorem of algebra for Tchebycheffian monosplines, J. Analyse Math. 20 (1967), 233-270. MR 36 #582. MR 217493
  • 7. S. Karlin and Z. Ziegler, Chebyshevian spline functions, SIAM J. Numer. Anal. 3 (1966), 514-543. MR 35 #7041. MR 216206
  • 8. L. Schumaker, Uniform approximation by Tchebycheffian spline functions. II. Free knots, SIAM J. Numer. Anal. 5 (1968), 647-656. MR 39 #3204. MR 241867
  • 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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Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1973-13278-1

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