The stability of smoothing by least squares

Author:
Herbert S. Wilf

Journal:
Proc. Amer. Math. Soc. **15** (1964), 933-937

MSC:
Primary 41.99

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**, 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