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Mathematics of Computation

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Trigonometric interpolation and curve-fitting


Author: A. C. R. Newbery
Journal: Math. Comp. 24 (1970), 869-876
MSC: Primary 65.20
DOI: https://doi.org/10.1090/S0025-5718-1970-0279966-8
MathSciNet review: 0279966
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Abstract: Some algorithms are introduced, whereby a function defined on an arbitrarily spaced set of abscissas may be interpolated or approximated by trigonometric or hyperbolic polynomials. The interpolation may be ordinary or osculatory. Least squares approximation is included; the approximant may be a pure sine series or a cosine series or a balanced trigonometric or hyperbolic polynomial. An application to a periodicity-search is described.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1970-0279966-8
Keywords: Trigonometric interpolation, trigonometric curve-fitting, osculatory trigonometric interpolation, constrained trigonometric approximation, exponential approximation, periodicity detection, harmonic analysis
Article copyright: © Copyright 1970 American Mathematical Society