Spline functions, convex curves and mechanical quadrature
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- by I. J. Schoenberg PDF
- Bull. Amer. Math. Soc. 64 (1958), 352-357
References
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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 H. B. Curry and I. J. Schoenberg, On Pólya frequency functions IV: The spline functions and their limits, as yet unpublished, see Bull.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.
- H. G. Eggleston, Convexity, Cambridge Tracts in Mathematics and Mathematical Physics, No. 47, Cambridge University Press, New York, 1958. MR 0124813, DOI 10.1017/CBO9780511566172 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.
- I. J. Schoenberg, An isoperimetric inequality for closed curves convex in even-dimensional Euclidean spaces, Acta Math. 91 (1954), 143–164. MR 65944, DOI 10.1007/BF02393429 7. E. T. Whittaker and G. Robinson, The calculus of observations, London, 1924.
Additional Information
- Journal: Bull. Amer. Math. Soc. 64 (1958), 352-357
- DOI: https://doi.org/10.1090/S0002-9904-1958-10227-X
- MathSciNet review: 0100746