On an optimal quadrature formula for approximation of Fourier integrals in the space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e947" altimg="si5.svg"><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math>
A.R. Hayotov, Soomin Jeon, Chang-Ock Lee
Topics & Concepts
MathematicsGauss–Kronrod quadrature formulaQuadrature (astronomy)Clenshaw–Curtis quadratureGauss–Laguerre quadratureTanh-sinh quadratureMathematical analysisGauss–Jacobi quadratureNumerical integrationGauss–Hermite quadratureSobolev spaceSquare-integrable functionFourier transformGaussian quadratureApplied mathematicsNyström methodIntegral equationEngineeringElectrical engineeringNumerical methods in inverse problemsElectromagnetic Scattering and AnalysisMathematical functions and polynomials