Optimal quadrature formulas for approximate calculation of the Fourier transform
Keywords:
Fourier transforms, Fourier series, Fourier coefficients, optimal quadrature formulas, optimal coefficients.Abstract
The problem of constructing trigonometrically weighted optimal quadrature formulas is also used in calculating Fourier coefficients. That is, having constructed quadrature formulas for integrals, one can apply trigonometrically weighted integrals encountered in geomathematics, nuclear physics, signal processing, computer tomography, and many other practical problems for approximate calculation.
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