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The Computer Journal 1967 10(1):94-100; doi:10.1093/comjnl/10.1.94
© 1967 by British Computer Society
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The evaluation of the coefficients in the Chebyshev expansion

G. J. Cooper *

University of London Institute of Computer Science, 44 Gordon Square, London, UK

An arbitrary continuous function may be approximated over a finite range by a truncated Chebyshev series, the coefficients being obtained by numerical quadrature using the trapezoidal rule. The better known methods for forming the coefficients may be refined by use of some unfamiliar methods of harmonic analysis to give improved accuracy and reduced computation.


* University of London Institute of Computer Science, 44 Gordon Square, London, W.C.1.


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