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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Spline functions, convex curves and mechanical quadrature

Author(s): I. J. Schoenberg
Journal: Bull. Amer. Math. Soc. 64 (1958), 352-357.
MathSciNet review: 0100746
Retrieve article in: PDF

References | Additional information

References:

1.
H. B. Curry and I. J. Schoenberg, On Pólya frequency functions IV: The spline functions and their limits, as yet unpublished, see Bull. Amer. Math. Soc. Abstract 53-11-380.
2.
H. G. Eggleston, Convexity, Cambridge Tract, no. 47, 1958. MR 124813
3.
G. Peano, Residuo in formulas de quadratura, Mathesis vol. 34 (1914) pp. 1-10.
4.
R. Radau, Étude sur les formules d'approximation qui servent à calculer la valeur numérique d'une intégrale définie, Journal de Math. 3d series, vol. 6 (1880) pp. 283-336.
5.
I. J. Schoenberg, Contributions to the problem of approximation of equidistant data by analytic functions, Quart. Appl. Math. vol. 4 (1946) pp. 45-99 and pp. 112-141.
6.
I. J. Schoenberg, An isoperimetric inequality for closed curves convex in even-dimensional euclidean spaces, Acta Math. vol. 91 (1954) pp. 143-164. MR 65944
7.
E. T. Whittaker and G. Robinson, The calculus of observations, London, 1924.


Additional Information:

DOI: 10.1090/S0002-9904-1958-10227-X
PII: S 0002-9904(1958)10227-X




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