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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


On the choice of parameter in a method for the inversion of Fourier series
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by M. Di Natale, L. Gotusso, R. Pavani and D. Roux PDF
Math. Comp. 58 (1992), 737-744 Request permission


The a priori evaluation of the pointwise approximation, by a regularization method suggested earlier, of a ${L^1}$ periodic function f, when only noisy Fourier coefficients of f are known, is given here in a formulation more suitable for numerical verification. A careful evaluation of the constants involved in the formulas is also provided. Finally, a procedure is described of a statistical check performed in order to verify whether the theoretically suggested value of the regularization parameter is a good choice with respect to functions generally arising in applications.
    Abstracts Amer. Math. Soc. 10 (1989), p. 235. L. De Michele, M. Di Natale, and D. Roux, Sharp properties of a regularization method for inversion of Fourier series, Proc. Meeting "Trends in Functional Analysis and Approximation Theory," Atti Sem. Mat. Fis. Univ. Modena 39 (1991), 253-267. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Tables of integral transforms, Vol. 1, McGraw-Hill, New York, 1954.
  • L. Gotusso, R. Pavani, and D. Roux, Numerical results from a regularization method for inversion of Fourier series, Rend. Mat. Appl. (7) 10 (1990), no. 3, 423–438. MR 1080308
  • L. Gotusso and D. Roux, Teoria, analisi numerica e valutazione dei risultati di un metodo per l’inversione delle serie di Fourier, Atti Accad. Sci. Lettere Arti Palermo (to appear).
  • Laura Gotusso, Delfina Roux, and Paolo Zanzi, Computation of a constant relative to a method for Fourier series inversion, Istit. Lombardo Accad. Sci. Lett. Rend. A 124 (1990), 85–98 (1991) (Italian, with English summary). MR 1267851
  • V. A. Morozov, Methods for solving incorrectly posed problems, Springer-Verlag, New York, 1984. Translated from the Russian by A. B. Aries; Translation edited by Z. Nashed. MR 766231, DOI 10.1007/978-1-4612-5280-1
  • William H. Press, Brian P. Flannery, Saul A. Teukolsky, and William T. Vetterling, Numerical recipes, Cambridge University Press, Cambridge, 1986. The art of scientific computing. MR 833288
  • Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, No. 32, Princeton University Press, Princeton, N.J., 1971. MR 0304972
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 58 (1992), 737-744
  • MSC: Primary 65T10
  • DOI:
  • MathSciNet review: 1122063