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The stability of smoothing by least squares


Author: Herbert S. Wilf
Journal: Proc. Amer. Math. Soc. 15 (1964), 933-937
MSC: Primary 41.99
DOI: https://doi.org/10.1090/S0002-9939-1964-0167764-4
Erratum: Proc. Amer. Math. Soc. 17 (1966), 542.
MathSciNet review: 0167764
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  • [1] H. H. Wolfenden, On the development of formulae for graduation by linear compounding, with special reference to the work of Erastus L. DeForest, Trans. Amer. Math. Soc. 26 (1925), 81-121.
  • [2] I. J. Schoenberg, On smoothing operations and their generating functions, Bull. Amer. Math. Soc. 59 (1953), 199–230. MR 0056042, https://doi.org/10.1090/S0002-9904-1953-09695-1
  • [3] -, Contributions to the problem of approximation of equidistant data by analytic functions. Part A, Quart. Appl. Math. 4 (1946), 45-99; Contributions to the problem of approximation of equidistant data by analytic functions. Part B, ibid. 4 (1946), 112-141.
  • [4] I. J. Schoenberg, Some analytical aspects of the problem of smoothing, Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, 1948, pp. 351–370. MR 0023309
  • [5] R. G. Cooke, Gibbs' phenomenon in Fourier-Bessel series and integrals, Proc. London Math. Soc. 27 (1928), 171-192.
  • [6] G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110

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DOI: https://doi.org/10.1090/S0002-9939-1964-0167764-4
Article copyright: © Copyright 1964 American Mathematical Society

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