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Numerical integration with weight functions $\cos kx$, $\sin kx$ on $[0, 2\pi/t]$, $t=1,2,\dots$
Applications of Mathematics, Tome 14 (1969) no. 3, pp. 179-194 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/AM.1969.103224
Classification : 65-55
Keywords: numerical analysis 
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     title = {Numerical integration with weight functions $\cos kx$, $\sin kx$ on $[0, 2\pi/t]$, $t=1,2,\dots$},
     journal = {Applications of Mathematics},
     pages = {179--194},
     year = {1969},
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Mikloško, Jozef. Numerical integration with weight functions $\cos kx$, $\sin kx$ on $[0, 2\pi/t]$, $t=1,2,\dots$. Applications of Mathematics, Tome 14 (1969) no. 3, pp. 179-194. doi: 10.21136/AM.1969.103224

[1] Fejer L.: Mechanische Quadraturen mit posit. Coteschen Zahlen. Mathem. Zeitschrift, No 37, 1933, 287-309. | DOI | MR

[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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