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Some estimates of the coefficients in the Chebyshev series expansion of a function


Authors: David Elliott and George Szekeres
Journal: Math. Comp. 19 (1965), 25-32
MSC: Primary 65.20
DOI: https://doi.org/10.1090/S0025-5718-1965-0172447-X
MathSciNet review: 0172447
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  • [1] D. Elliott, "The evaluation and estimation of the coefficients in the Chebyshev series expansion of a function," Math. Comp., v. 18, 1964, p. 274-284. MR 0166903 (29:4176)
  • [2] C. W. Clenshaw, "The numerical solution of linear differential equations in Chebyshev series," Proc. Cambridge Philos. Soc., v. 53, 1957, p. 134-149. MR 18, 516. MR 0082196 (18:516a)
  • [3] D. Elliott, "A Chebyshev series method for the numerical solution of Fredholm integral equations," Comput. J., v. 6, 1963 p. 102-111. MR 27 #5386. MR 0155452 (27:5386)
  • [4] N. G. De Bruijn, Asymptotic Methods in Analysis, North-Holland, Amsterdam, 1958. MR 20 #6003.
  • [5] C. W. Clenshaw, "Chebyshev series for mathematical functions," Nat. Physical Lab. Math. Tables, v. 5, Dept. Scientific & Indust. Res., H.M.S.O., London, 1962. MR 26 #362.
  • [6] G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge Univ. Press, New York, 1944; 2nd ed., 1952. MR 6, 64. MR 0010746 (6:64a)

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DOI: https://doi.org/10.1090/S0025-5718-1965-0172447-X
Article copyright: © Copyright 1965 American Mathematical Society

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