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A rational approximation of the sinc function based on sampling and the Fourier transforms - MaRDI portal

A rational approximation of the sinc function based on sampling and the Fourier transforms (Q2301278)

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A rational approximation of the sinc function based on sampling and the Fourier transforms
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    A rational approximation of the sinc function based on sampling and the Fourier transforms (English)
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    24 February 2020
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    In [Appl. Math. Comput. 258, 425--435 (2015; Zbl 1338.41001)], the authors have applied sampling by incomplete cosine expansion of the sinc function and obtained a rapid and highly accurate rational approximation for the Voigt/complex error function. In this paper, the authors generalize this methodology and show as an example how to derive a rational approximation of the sinc function by sampling and the Fourier transforms. Also, they present a MATLAB code to validate these results.
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    sinc function
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    sampling
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    Fourier transform
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    rational approximation
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    numerical integration
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