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numerical analysis
The paper describes a numerical method for computation of integrals with weight functions cos $kx$, sin $kx$ ($k$-integer), and its convergence and the estimation of the remainder is investigated. Some weight coefficients of these formulae are tabulated and their application is demonstrated by numerical experiments.
[1] Fejer L.: Mechanische Quadraturen mit posit. Coteschen Zahlen. Mathem. Zeitschrift, No 37, 1933, 287-309. DOI 10.1007/BF01474575 | MR 1545395
[2] Mikloško J.: Numerical computation of the Fourier coefficients of an analytically given function. Zeitschrift für angewandte Mathematik und Mechanik, 47-7, 1967, 470-473.
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