Some estimates of the coefficients in the Chebyshev series expansion of a function
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- by David Elliott and George Szekeres PDF
- Math. Comp. 19 (1965), 25-32 Request permission
References
- David Elliott, The evaluation and estimation of the coefficients in the Chebyshev series expansion of a function, Math. Comp. 18 (1964), 274–284. MR 166903, DOI 10.1090/S0025-5718-1964-0166903-7
- C. W. Clenshaw, The numerical solution of linear differential equations in Chebyshev series, Proc. Cambridge Philos. Soc. 53 (1957), 134–149. MR 82196, DOI 10.1017/s0305004100032072
- David Elliott, Chebyshev series method for the numerical solution of Fredholm integral equations, Comput. J. 6 (1963/64), 102–111. MR 155452, DOI 10.1093/comjnl/6.1.102 N. G. De Bruijn, Asymptotic Methods in Analysis, North-Holland, Amsterdam, 1958. MR 20 #6003. 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.
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
Additional Information
- © Copyright 1965 American Mathematical Society
- 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