# Numerical integration with weight functions $coskx$, $sinkx$ on $[0,2\pi /t]$, $t=1,2,\cdots $

Aplikace matematiky (1969)

- Volume: 14, Issue: 3, page 179-194
- ISSN: 0862-7940

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topMikloško, Jozef. "Numerical integration with weight functions $\cos kx$, $\sin kx$ on $[0, 2\pi /t]$, $t=1,2,\dots $." Aplikace matematiky 14.3 (1969): 179-194. <http://eudml.org/doc/14592>.

@article{Mikloško1969,

abstract = {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.},

author = {Mikloško, Jozef},

journal = {Aplikace matematiky},

keywords = {numerical analysis},

language = {eng},

number = {3},

pages = {179-194},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Numerical integration with weight functions $\cos kx$, $\sin kx$ on $[0, 2\pi /t]$, $t=1,2,\dots $},

url = {http://eudml.org/doc/14592},

volume = {14},

year = {1969},

}

TY - JOUR

AU - Mikloško, Jozef

TI - Numerical integration with weight functions $\cos kx$, $\sin kx$ on $[0, 2\pi /t]$, $t=1,2,\dots $

JO - Aplikace matematiky

PY - 1969

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 14

IS - 3

SP - 179

EP - 194

AB - 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.

LA - eng

KW - numerical analysis

UR - http://eudml.org/doc/14592

ER -

## References

top- Fejer L., 10.1007/BF01474575, Mathem. Zeitschrift, No 37, 1933, 287-309. (1933) MR1545395DOI10.1007/BF01474575
- Mikloško J., Numerical computation of the Fourier coefficients of an analytically given function, Zeitschrift für angewandte Mathematik und Mechanik, 47-7, 1967, 470-473. (1967)

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