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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References | Similar Articles | Additional Information

**[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 (15:16d)****[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]**-,*Some analytical aspects of the problem of smoothing. Studies and essays presented to R. Courant on his*60*th birthday*, pp. 152-156, Interscience, New York, 1948. MR**0023309 (9:337g)****[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 Univ. Press, Cambridge, 1950. MR**1349110 (96i:33010)**

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DOI:
https://doi.org/10.1090/S0002-9939-1964-0167764-4

Article copyright:
© Copyright 1964
American Mathematical Society